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Finding the Third Proportional to 1,565.44 and 3,086.16

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Solution

The third proportional to 1,565.44 and 3,086.16 is: 6,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.44 : 3,086.16 = 3,086.16 : x
  2. Step 2: Convert to fraction form
    1,565.44/3,086.16 = 3,086.16/x
  3. Step 3: Cross multiply
    1,565.44x = 3,086.16 × 3,086.16
  4. Step 4: Simplify right side
    1,565.44x = 9,524,360.40
  5. Step 5: Solve for x
    x = 9,524,360.40/1,565.44
  6. Step 6: Final answer
    x = 6,084.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.