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Finding the Third Proportional to 29,422 and 63,786

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Solution

The third proportional to 29,422 and 63,786 is: 138,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,422 : 63,786 = 63,786 : x
  2. Step 2: Convert to fraction form
    29,422/63,786 = 63,786/x
  3. Step 3: Cross multiply
    29,422x = 63,786 × 63,786
  4. Step 4: Simplify right side
    29,422x = 4,068,653,796
  5. Step 5: Solve for x
    x = 4,068,653,796/29,422
  6. Step 6: Final answer
    x = 138,286.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.