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Finding the Third Proportional to 11,332.13 and 15,212.81

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Solution

The third proportional to 11,332.13 and 15,212.81 is: 20,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.13 : 15,212.81 = 15,212.81 : x
  2. Step 2: Convert to fraction form
    11,332.13/15,212.81 = 15,212.81/x
  3. Step 3: Cross multiply
    11,332.13x = 15,212.81 × 15,212.81
  4. Step 4: Simplify right side
    11,332.13x = 231,429,664.16
  5. Step 5: Solve for x
    x = 231,429,664.16/11,332.13
  6. Step 6: Final answer
    x = 20,422.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.