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Finding the Third Proportional to 20,567.20 and 30,716.24

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Solution

The third proportional to 20,567.20 and 30,716.24 is: 45,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.20 : 30,716.24 = 30,716.24 : x
  2. Step 2: Convert to fraction form
    20,567.20/30,716.24 = 30,716.24/x
  3. Step 3: Cross multiply
    20,567.20x = 30,716.24 × 30,716.24
  4. Step 4: Simplify right side
    20,567.20x = 943,487,654.11
  5. Step 5: Solve for x
    x = 943,487,654.11/20,567.20
  6. Step 6: Final answer
    x = 45,873.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.