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Finding the Third Proportional to 22,891 and 34,657.50

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Solution

The third proportional to 22,891 and 34,657.50 is: 52,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891 : 34,657.50 = 34,657.50 : x
  2. Step 2: Convert to fraction form
    22,891/34,657.50 = 34,657.50/x
  3. Step 3: Cross multiply
    22,891x = 34,657.50 × 34,657.50
  4. Step 4: Simplify right side
    22,891x = 1,201,142,306.25
  5. Step 5: Solve for x
    x = 1,201,142,306.25/22,891
  6. Step 6: Final answer
    x = 52,472.25

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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.