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Finding the Third Proportional to 10,222.88 and 15,631.31

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Solution

The third proportional to 10,222.88 and 15,631.31 is: 23,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.88 : 15,631.31 = 15,631.31 : x
  2. Step 2: Convert to fraction form
    10,222.88/15,631.31 = 15,631.31/x
  3. Step 3: Cross multiply
    10,222.88x = 15,631.31 × 15,631.31
  4. Step 4: Simplify right side
    10,222.88x = 244,337,930.47
  5. Step 5: Solve for x
    x = 244,337,930.47/10,222.88
  6. Step 6: Final answer
    x = 23,901.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.