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Finding the Third Proportional to 27,753 and 59,937

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Solution

The third proportional to 27,753 and 59,937 is: 129,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753 : 59,937 = 59,937 : x
  2. Step 2: Convert to fraction form
    27,753/59,937 = 59,937/x
  3. Step 3: Cross multiply
    27,753x = 59,937 × 59,937
  4. Step 4: Simplify right side
    27,753x = 3,592,443,969
  5. Step 5: Solve for x
    x = 3,592,443,969/27,753
  6. Step 6: Final answer
    x = 129,443.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.