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Finding the Third Proportional to 27,029 and 59,040

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Solution

The third proportional to 27,029 and 59,040 is: 128,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029 : 59,040 = 59,040 : x
  2. Step 2: Convert to fraction form
    27,029/59,040 = 59,040/x
  3. Step 3: Cross multiply
    27,029x = 59,040 × 59,040
  4. Step 4: Simplify right side
    27,029x = 3,485,721,600
  5. Step 5: Solve for x
    x = 3,485,721,600/27,029
  6. Step 6: Final answer
    x = 128,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.