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Finding the Third Proportional to 3,098.53 and 6,041.39

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Solution

The third proportional to 3,098.53 and 6,041.39 is: 11,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.53 : 6,041.39 = 6,041.39 : x
  2. Step 2: Convert to fraction form
    3,098.53/6,041.39 = 6,041.39/x
  3. Step 3: Cross multiply
    3,098.53x = 6,041.39 × 6,041.39
  4. Step 4: Simplify right side
    3,098.53x = 36,498,400.68
  5. Step 5: Solve for x
    x = 36,498,400.68/3,098.53
  6. Step 6: Final answer
    x = 11,779.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.