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Finding the Third Proportional to 22,981 and 52,295

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Solution

The third proportional to 22,981 and 52,295 is: 119,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981 : 52,295 = 52,295 : x
  2. Step 2: Convert to fraction form
    22,981/52,295 = 52,295/x
  3. Step 3: Cross multiply
    22,981x = 52,295 × 52,295
  4. Step 4: Simplify right side
    22,981x = 2,734,767,025
  5. Step 5: Solve for x
    x = 2,734,767,025/22,981
  6. Step 6: Final answer
    x = 119,001.22

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.