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Finding the Third Proportional to 42,552 and 59,484

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Solution

The third proportional to 42,552 and 59,484 is: 83,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,552 : 59,484 = 59,484 : x
  2. Step 2: Convert to fraction form
    42,552/59,484 = 59,484/x
  3. Step 3: Cross multiply
    42,552x = 59,484 × 59,484
  4. Step 4: Simplify right side
    42,552x = 3,538,346,256
  5. Step 5: Solve for x
    x = 3,538,346,256/42,552
  6. Step 6: Final answer
    x = 83,153.47

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