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Finding the Third Proportional to 32,653.41 and 66,690.28

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Solution

The third proportional to 32,653.41 and 66,690.28 is: 136,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.41 : 66,690.28 = 66,690.28 : x
  2. Step 2: Convert to fraction form
    32,653.41/66,690.28 = 66,690.28/x
  3. Step 3: Cross multiply
    32,653.41x = 66,690.28 × 66,690.28
  4. Step 4: Simplify right side
    32,653.41x = 4,447,593,613.20
  5. Step 5: Solve for x
    x = 4,447,593,613.20/32,653.41
  6. Step 6: Final answer
    x = 136,206.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.