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Finding the Third Proportional to 42,912 and 59,040

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Solution

The third proportional to 42,912 and 59,040 is: 81,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912 : 59,040 = 59,040 : x
  2. Step 2: Convert to fraction form
    42,912/59,040 = 59,040/x
  3. Step 3: Cross multiply
    42,912x = 59,040 × 59,040
  4. Step 4: Simplify right side
    42,912x = 3,485,721,600
  5. Step 5: Solve for x
    x = 3,485,721,600/42,912
  6. Step 6: Final answer
    x = 81,229.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.