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Finding the Third Proportional to 10,159.88 and 22,318.88

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Solution

The third proportional to 10,159.88 and 22,318.88 is: 49,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.88 : 22,318.88 = 22,318.88 : x
  2. Step 2: Convert to fraction form
    10,159.88/22,318.88 = 22,318.88/x
  3. Step 3: Cross multiply
    10,159.88x = 22,318.88 × 22,318.88
  4. Step 4: Simplify right side
    10,159.88x = 498,132,181.27
  5. Step 5: Solve for x
    x = 498,132,181.27/10,159.88
  6. Step 6: Final answer
    x = 49,029.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.