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Finding the Third Proportional to 20,233.13 and 31,672.69

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Solution

The third proportional to 20,233.13 and 31,672.69 is: 49,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.13 : 31,672.69 = 31,672.69 : x
  2. Step 2: Convert to fraction form
    20,233.13/31,672.69 = 31,672.69/x
  3. Step 3: Cross multiply
    20,233.13x = 31,672.69 × 31,672.69
  4. Step 4: Simplify right side
    20,233.13x = 1,003,159,133.47
  5. Step 5: Solve for x
    x = 1,003,159,133.47/20,233.13
  6. Step 6: Final answer
    x = 49,580.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.