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Finding the Third Proportional to 22,902.75 and 30,397.78

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Solution

The third proportional to 22,902.75 and 30,397.78 is: 40,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.75 : 30,397.78 = 30,397.78 : x
  2. Step 2: Convert to fraction form
    22,902.75/30,397.78 = 30,397.78/x
  3. Step 3: Cross multiply
    22,902.75x = 30,397.78 × 30,397.78
  4. Step 4: Simplify right side
    22,902.75x = 924,025,104.92
  5. Step 5: Solve for x
    x = 924,025,104.92/22,902.75
  6. Step 6: Final answer
    x = 40,345.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.