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Finding the Third Proportional to 22,781.25 and 47,061

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Solution

The third proportional to 22,781.25 and 47,061 is: 97,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.25 : 47,061 = 47,061 : x
  2. Step 2: Convert to fraction form
    22,781.25/47,061 = 47,061/x
  3. Step 3: Cross multiply
    22,781.25x = 47,061 × 47,061
  4. Step 4: Simplify right side
    22,781.25x = 2,214,737,721
  5. Step 5: Solve for x
    x = 2,214,737,721/22,781.25
  6. Step 6: Final answer
    x = 97,217.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.