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Finding the Third Proportional to 42,484 and 59,432

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Solution

The third proportional to 42,484 and 59,432 is: 83,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,484 : 59,432 = 59,432 : x
  2. Step 2: Convert to fraction form
    42,484/59,432 = 59,432/x
  3. Step 3: Cross multiply
    42,484x = 59,432 × 59,432
  4. Step 4: Simplify right side
    42,484x = 3,532,162,624
  5. Step 5: Solve for x
    x = 3,532,162,624/42,484
  6. Step 6: Final answer
    x = 83,141.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.