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Finding the Third Proportional to 27,747 and 59,463

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Solution

The third proportional to 27,747 and 59,463 is: 127,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 59,463 = 59,463 : x
  2. Step 2: Convert to fraction form
    27,747/59,463 = 59,463/x
  3. Step 3: Cross multiply
    27,747x = 59,463 × 59,463
  4. Step 4: Simplify right side
    27,747x = 3,535,848,369
  5. Step 5: Solve for x
    x = 3,535,848,369/27,747
  6. Step 6: Final answer
    x = 127,431.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.