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Finding the Third Proportional to 22,657.50 and 34,977.38

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Solution

The third proportional to 22,657.50 and 34,977.38 is: 53,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.50 : 34,977.38 = 34,977.38 : x
  2. Step 2: Convert to fraction form
    22,657.50/34,977.38 = 34,977.38/x
  3. Step 3: Cross multiply
    22,657.50x = 34,977.38 × 34,977.38
  4. Step 4: Simplify right side
    22,657.50x = 1,223,416,761.89
  5. Step 5: Solve for x
    x = 1,223,416,761.89/22,657.50
  6. Step 6: Final answer
    x = 53,996.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.