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Finding the Third Proportional to 52,624.69 and 71,442

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Solution

The third proportional to 52,624.69 and 71,442 is: 96,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,624.69 : 71,442 = 71,442 : x
  2. Step 2: Convert to fraction form
    52,624.69/71,442 = 71,442/x
  3. Step 3: Cross multiply
    52,624.69x = 71,442 × 71,442
  4. Step 4: Simplify right side
    52,624.69x = 5,103,959,364
  5. Step 5: Solve for x
    x = 5,103,959,364/52,624.69
  6. Step 6: Final answer
    x = 96,987.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.