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Finding the Third Proportional to 10,239.75 and 22,470.75

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Solution

The third proportional to 10,239.75 and 22,470.75 is: 49,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.75 : 22,470.75 = 22,470.75 : x
  2. Step 2: Convert to fraction form
    10,239.75/22,470.75 = 22,470.75/x
  3. Step 3: Cross multiply
    10,239.75x = 22,470.75 × 22,470.75
  4. Step 4: Simplify right side
    10,239.75x = 504,934,605.56
  5. Step 5: Solve for x
    x = 504,934,605.56/10,239.75
  6. Step 6: Final answer
    x = 49,311.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.