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Finding the Third Proportional to 22,984 and 29,932

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Solution

The third proportional to 22,984 and 29,932 is: 38,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984 : 29,932 = 29,932 : x
  2. Step 2: Convert to fraction form
    22,984/29,932 = 29,932/x
  3. Step 3: Cross multiply
    22,984x = 29,932 × 29,932
  4. Step 4: Simplify right side
    22,984x = 895,924,624
  5. Step 5: Solve for x
    x = 895,924,624/22,984
  6. Step 6: Final answer
    x = 38,980.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.