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Finding the Third Proportional to 27,757 and 59,946

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Solution

The third proportional to 27,757 and 59,946 is: 129,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757 : 59,946 = 59,946 : x
  2. Step 2: Convert to fraction form
    27,757/59,946 = 59,946/x
  3. Step 3: Cross multiply
    27,757x = 59,946 × 59,946
  4. Step 4: Simplify right side
    27,757x = 3,593,522,916
  5. Step 5: Solve for x
    x = 3,593,522,916/27,757
  6. Step 6: Final answer
    x = 129,463.66

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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.