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Finding the Third Proportional to 32,687.30 and 71,592.93

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Solution

The third proportional to 32,687.30 and 71,592.93 is: 156,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687.30 : 71,592.93 = 71,592.93 : x
  2. Step 2: Convert to fraction form
    32,687.30/71,592.93 = 71,592.93/x
  3. Step 3: Cross multiply
    32,687.30x = 71,592.93 × 71,592.93
  4. Step 4: Simplify right side
    32,687.30x = 5,125,547,021.92
  5. Step 5: Solve for x
    x = 5,125,547,021.92/32,687.30
  6. Step 6: Final answer
    x = 156,805.47

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