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Finding the Third Proportional to 32,090.25 and 66,225.75

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Solution

The third proportional to 32,090.25 and 66,225.75 is: 136,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.25 : 66,225.75 = 66,225.75 : x
  2. Step 2: Convert to fraction form
    32,090.25/66,225.75 = 66,225.75/x
  3. Step 3: Cross multiply
    32,090.25x = 66,225.75 × 66,225.75
  4. Step 4: Simplify right side
    32,090.25x = 4,385,849,963.06
  5. Step 5: Solve for x
    x = 4,385,849,963.06/32,090.25
  6. Step 6: Final answer
    x = 136,672.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.