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Finding the Third Proportional to 20,691.70 and 32,786.65

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Solution

The third proportional to 20,691.70 and 32,786.65 is: 51,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.70 : 32,786.65 = 32,786.65 : x
  2. Step 2: Convert to fraction form
    20,691.70/32,786.65 = 32,786.65/x
  3. Step 3: Cross multiply
    20,691.70x = 32,786.65 × 32,786.65
  4. Step 4: Simplify right side
    20,691.70x = 1,074,964,315.76
  5. Step 5: Solve for x
    x = 1,074,964,315.76/20,691.70
  6. Step 6: Final answer
    x = 51,951.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.