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Finding the Third Proportional to 12,542 and 19,357

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Solution

The third proportional to 12,542 and 19,357 is: 29,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542 : 19,357 = 19,357 : x
  2. Step 2: Convert to fraction form
    12,542/19,357 = 19,357/x
  3. Step 3: Cross multiply
    12,542x = 19,357 × 19,357
  4. Step 4: Simplify right side
    12,542x = 374,693,449
  5. Step 5: Solve for x
    x = 374,693,449/12,542
  6. Step 6: Final answer
    x = 29,875.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.