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Finding the Third Proportional to 21,800 and 34,552

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Solution

The third proportional to 21,800 and 34,552 is: 54,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 34,552 = 34,552 : x
  2. Step 2: Convert to fraction form
    21,800/34,552 = 34,552/x
  3. Step 3: Cross multiply
    21,800x = 34,552 × 34,552
  4. Step 4: Simplify right side
    21,800x = 1,193,840,704
  5. Step 5: Solve for x
    x = 1,193,840,704/21,800
  6. Step 6: Final answer
    x = 54,763.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.