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Finding the Third Proportional to 40,584 and 59,472

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Solution

The third proportional to 40,584 and 59,472 is: 87,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,584 : 59,472 = 59,472 : x
  2. Step 2: Convert to fraction form
    40,584/59,472 = 59,472/x
  3. Step 3: Cross multiply
    40,584x = 59,472 × 59,472
  4. Step 4: Simplify right side
    40,584x = 3,536,918,784
  5. Step 5: Solve for x
    x = 3,536,918,784/40,584
  6. Step 6: Final answer
    x = 87,150.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.