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Finding the Third Proportional to 32,921.30 and 72,250.53

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Solution

The third proportional to 32,921.30 and 72,250.53 is: 158,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.30 : 72,250.53 = 72,250.53 : x
  2. Step 2: Convert to fraction form
    32,921.30/72,250.53 = 72,250.53/x
  3. Step 3: Cross multiply
    32,921.30x = 72,250.53 × 72,250.53
  4. Step 4: Simplify right side
    32,921.30x = 5,220,139,265.91
  5. Step 5: Solve for x
    x = 5,220,139,265.91/32,921.30
  6. Step 6: Final answer
    x = 158,564.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.