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Finding the Third Proportional to 11,332.41 and 15,930.42

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Solution

The third proportional to 11,332.41 and 15,930.42 is: 22,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.41 : 15,930.42 = 15,930.42 : x
  2. Step 2: Convert to fraction form
    11,332.41/15,930.42 = 15,930.42/x
  3. Step 3: Cross multiply
    11,332.41x = 15,930.42 × 15,930.42
  4. Step 4: Simplify right side
    11,332.41x = 253,778,341.12
  5. Step 5: Solve for x
    x = 253,778,341.12/11,332.41
  6. Step 6: Final answer
    x = 22,394.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.