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Finding the Third Proportional to 2,565.84 and 6,228.56

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Solution

The third proportional to 2,565.84 and 6,228.56 is: 15,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.84 : 6,228.56 = 6,228.56 : x
  2. Step 2: Convert to fraction form
    2,565.84/6,228.56 = 6,228.56/x
  3. Step 3: Cross multiply
    2,565.84x = 6,228.56 × 6,228.56
  4. Step 4: Simplify right side
    2,565.84x = 38,794,990.82
  5. Step 5: Solve for x
    x = 38,794,990.82/2,565.84
  6. Step 6: Final answer
    x = 15,119.78

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.