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Finding the Third Proportional to 19,614 and 42,357

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Solution

The third proportional to 19,614 and 42,357 is: 91,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614 : 42,357 = 42,357 : x
  2. Step 2: Convert to fraction form
    19,614/42,357 = 42,357/x
  3. Step 3: Cross multiply
    19,614x = 42,357 × 42,357
  4. Step 4: Simplify right side
    19,614x = 1,794,115,449
  5. Step 5: Solve for x
    x = 1,794,115,449/19,614
  6. Step 6: Final answer
    x = 91,471.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.