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Finding the Third Proportional to 23,642 and 38,698

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Solution

The third proportional to 23,642 and 38,698 is: 63,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642 : 38,698 = 38,698 : x
  2. Step 2: Convert to fraction form
    23,642/38,698 = 38,698/x
  3. Step 3: Cross multiply
    23,642x = 38,698 × 38,698
  4. Step 4: Simplify right side
    23,642x = 1,497,535,204
  5. Step 5: Solve for x
    x = 1,497,535,204/23,642
  6. Step 6: Final answer
    x = 63,342.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.