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Finding the Third Proportional to 32,246.44 and 66,770.16

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Solution

The third proportional to 32,246.44 and 66,770.16 is: 138,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,246.44 : 66,770.16 = 66,770.16 : x
  2. Step 2: Convert to fraction form
    32,246.44/66,770.16 = 66,770.16/x
  3. Step 3: Cross multiply
    32,246.44x = 66,770.16 × 66,770.16
  4. Step 4: Simplify right side
    32,246.44x = 4,458,253,765.65
  5. Step 5: Solve for x
    x = 4,458,253,765.65/32,246.44
  6. Step 6: Final answer
    x = 138,255.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.