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Finding the Third Proportional to 12,597 and 27,462

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Solution

The third proportional to 12,597 and 27,462 is: 59,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597 : 27,462 = 27,462 : x
  2. Step 2: Convert to fraction form
    12,597/27,462 = 27,462/x
  3. Step 3: Cross multiply
    12,597x = 27,462 × 27,462
  4. Step 4: Simplify right side
    12,597x = 754,161,444
  5. Step 5: Solve for x
    x = 754,161,444/12,597
  6. Step 6: Final answer
    x = 59,868.34

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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.