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Finding the Third Proportional to 12,374 and 27,509

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Solution

The third proportional to 12,374 and 27,509 is: 61,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 27,509 = 27,509 : x
  2. Step 2: Convert to fraction form
    12,374/27,509 = 27,509/x
  3. Step 3: Cross multiply
    12,374x = 27,509 × 27,509
  4. Step 4: Simplify right side
    12,374x = 756,745,081
  5. Step 5: Solve for x
    x = 756,745,081/12,374
  6. Step 6: Final answer
    x = 61,156.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.