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Finding the Third Proportional to 22,630 and 29,758

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Solution

The third proportional to 22,630 and 29,758 is: 39,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630 : 29,758 = 29,758 : x
  2. Step 2: Convert to fraction form
    22,630/29,758 = 29,758/x
  3. Step 3: Cross multiply
    22,630x = 29,758 × 29,758
  4. Step 4: Simplify right side
    22,630x = 885,538,564
  5. Step 5: Solve for x
    x = 885,538,564/22,630
  6. Step 6: Final answer
    x = 39,131.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.