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Finding the Third Proportional to 2,098.55 and 2,839.92

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Solution

The third proportional to 2,098.55 and 2,839.92 is: 3,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.55 : 2,839.92 = 2,839.92 : x
  2. Step 2: Convert to fraction form
    2,098.55/2,839.92 = 2,839.92/x
  3. Step 3: Cross multiply
    2,098.55x = 2,839.92 × 2,839.92
  4. Step 4: Simplify right side
    2,098.55x = 8,065,156.26
  5. Step 5: Solve for x
    x = 8,065,156.26/2,098.55
  6. Step 6: Final answer
    x = 3,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.