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Finding the Third Proportional to 2,565.84 and 3,822.19

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Solution

The third proportional to 2,565.84 and 3,822.19 is: 5,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.84 : 3,822.19 = 3,822.19 : x
  2. Step 2: Convert to fraction form
    2,565.84/3,822.19 = 3,822.19/x
  3. Step 3: Cross multiply
    2,565.84x = 3,822.19 × 3,822.19
  4. Step 4: Simplify right side
    2,565.84x = 14,609,117.29
  5. Step 5: Solve for x
    x = 14,609,117.29/2,565.84
  6. Step 6: Final answer
    x = 5,693.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.