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Finding the Third Proportional to 20,534.50 and 23,552

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Solution

The third proportional to 20,534.50 and 23,552 is: 27,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.50 : 23,552 = 23,552 : x
  2. Step 2: Convert to fraction form
    20,534.50/23,552 = 23,552/x
  3. Step 3: Cross multiply
    20,534.50x = 23,552 × 23,552
  4. Step 4: Simplify right side
    20,534.50x = 554,696,704
  5. Step 5: Solve for x
    x = 554,696,704/20,534.50
  6. Step 6: Final answer
    x = 27,012.92

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.