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Finding the Third Proportional to 8,565.75 and 20,700.56

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Solution

The third proportional to 8,565.75 and 20,700.56 is: 50,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 20,700.56 = 20,700.56 : x
  2. Step 2: Convert to fraction form
    8,565.75/20,700.56 = 20,700.56/x
  3. Step 3: Cross multiply
    8,565.75x = 20,700.56 × 20,700.56
  4. Step 4: Simplify right side
    8,565.75x = 428,513,287.82
  5. Step 5: Solve for x
    x = 428,513,287.82/8,565.75
  6. Step 6: Final answer
    x = 50,026.36

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.