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Finding the Third Proportional to 12,760 and 27,473

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Solution

The third proportional to 12,760 and 27,473 is: 59,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760 : 27,473 = 27,473 : x
  2. Step 2: Convert to fraction form
    12,760/27,473 = 27,473/x
  3. Step 3: Cross multiply
    12,760x = 27,473 × 27,473
  4. Step 4: Simplify right side
    12,760x = 754,765,729
  5. Step 5: Solve for x
    x = 754,765,729/12,760
  6. Step 6: Final answer
    x = 59,150.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.