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Finding the Third Proportional to 20,708.16 and 32,138.65

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Solution

The third proportional to 20,708.16 and 32,138.65 is: 49,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,708.16 : 32,138.65 = 32,138.65 : x
  2. Step 2: Convert to fraction form
    20,708.16/32,138.65 = 32,138.65/x
  3. Step 3: Cross multiply
    20,708.16x = 32,138.65 × 32,138.65
  4. Step 4: Simplify right side
    20,708.16x = 1,032,892,723.39
  5. Step 5: Solve for x
    x = 1,032,892,723.39/20,708.16
  6. Step 6: Final answer
    x = 49,878.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.