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Finding the Third Proportional to 22,763.53 and 34,462.97

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Solution

The third proportional to 22,763.53 and 34,462.97 is: 52,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.53 : 34,462.97 = 34,462.97 : x
  2. Step 2: Convert to fraction form
    22,763.53/34,462.97 = 34,462.97/x
  3. Step 3: Cross multiply
    22,763.53x = 34,462.97 × 34,462.97
  4. Step 4: Simplify right side
    22,763.53x = 1,187,696,215.06
  5. Step 5: Solve for x
    x = 1,187,696,215.06/22,763.53
  6. Step 6: Final answer
    x = 52,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.