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Finding the Third Proportional to 10,442.67 and 22,952.11

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Solution

The third proportional to 10,442.67 and 22,952.11 is: 50,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.67 : 22,952.11 = 22,952.11 : x
  2. Step 2: Convert to fraction form
    10,442.67/22,952.11 = 22,952.11/x
  3. Step 3: Cross multiply
    10,442.67x = 22,952.11 × 22,952.11
  4. Step 4: Simplify right side
    10,442.67x = 526,799,324.76
  5. Step 5: Solve for x
    x = 526,799,324.76/10,442.67
  6. Step 6: Final answer
    x = 50,446.79

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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.