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Finding the Third Proportional to 22,620 and 29,466

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Solution

The third proportional to 22,620 and 29,466 is: 38,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 29,466 = 29,466 : x
  2. Step 2: Convert to fraction form
    22,620/29,466 = 29,466/x
  3. Step 3: Cross multiply
    22,620x = 29,466 × 29,466
  4. Step 4: Simplify right side
    22,620x = 868,245,156
  5. Step 5: Solve for x
    x = 868,245,156/22,620
  6. Step 6: Final answer
    x = 38,383.96

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1.5x scale

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.