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Finding the Third Proportional to 9,352.13 and 20,462.63

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Solution

The third proportional to 9,352.13 and 20,462.63 is: 44,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.13 : 20,462.63 = 20,462.63 : x
  2. Step 2: Convert to fraction form
    9,352.13/20,462.63 = 20,462.63/x
  3. Step 3: Cross multiply
    9,352.13x = 20,462.63 × 20,462.63
  4. Step 4: Simplify right side
    9,352.13x = 418,719,021.89
  5. Step 5: Solve for x
    x = 418,719,021.89/9,352.13
  6. Step 6: Final answer
    x = 44,772.61

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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.