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Finding the Third Proportional to 20,582.86 and 43,318.55

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Solution

The third proportional to 20,582.86 and 43,318.55 is: 91,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.86 : 43,318.55 = 43,318.55 : x
  2. Step 2: Convert to fraction form
    20,582.86/43,318.55 = 43,318.55/x
  3. Step 3: Cross multiply
    20,582.86x = 43,318.55 × 43,318.55
  4. Step 4: Simplify right side
    20,582.86x = 1,876,496,503.36
  5. Step 5: Solve for x
    x = 1,876,496,503.36/20,582.86
  6. Step 6: Final answer
    x = 91,167.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.