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Finding the Third Proportional to 20,552 and 29,368

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Solution

The third proportional to 20,552 and 29,368 is: 41,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552 : 29,368 = 29,368 : x
  2. Step 2: Convert to fraction form
    20,552/29,368 = 29,368/x
  3. Step 3: Cross multiply
    20,552x = 29,368 × 29,368
  4. Step 4: Simplify right side
    20,552x = 862,479,424
  5. Step 5: Solve for x
    x = 862,479,424/20,552
  6. Step 6: Final answer
    x = 41,965.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.