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Finding the Third Proportional to 854.15 and 1,565.95

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Solution

The third proportional to 854.15 and 1,565.95 is: 2,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.15 : 1,565.95 = 1,565.95 : x
  2. Step 2: Convert to fraction form
    854.15/1,565.95 = 1,565.95/x
  3. Step 3: Cross multiply
    854.15x = 1,565.95 × 1,565.95
  4. Step 4: Simplify right side
    854.15x = 2,452,188.24
  5. Step 5: Solve for x
    x = 2,452,188.24/854.15
  6. Step 6: Final answer
    x = 2,870.90

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.