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Finding the Third Proportional to 8,565.75 and 19,900.69

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Solution

The third proportional to 8,565.75 and 19,900.69 is: 46,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 19,900.69 = 19,900.69 : x
  2. Step 2: Convert to fraction form
    8,565.75/19,900.69 = 19,900.69/x
  3. Step 3: Cross multiply
    8,565.75x = 19,900.69 × 19,900.69
  4. Step 4: Simplify right side
    8,565.75x = 396,037,362.97
  5. Step 5: Solve for x
    x = 396,037,362.97/8,565.75
  6. Step 6: Final answer
    x = 46,234.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.