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Finding the Third Proportional to 20,691.07 and 30,489.86

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Solution

The third proportional to 20,691.07 and 30,489.86 is: 44,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.07 : 30,489.86 = 30,489.86 : x
  2. Step 2: Convert to fraction form
    20,691.07/30,489.86 = 30,489.86/x
  3. Step 3: Cross multiply
    20,691.07x = 30,489.86 × 30,489.86
  4. Step 4: Simplify right side
    20,691.07x = 929,631,286.51
  5. Step 5: Solve for x
    x = 929,631,286.51/20,691.07
  6. Step 6: Final answer
    x = 44,929.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.