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Finding the Third Proportional to 4,098.09 and 6,271.17

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Solution

The third proportional to 4,098.09 and 6,271.17 is: 9,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.09 : 6,271.17 = 6,271.17 : x
  2. Step 2: Convert to fraction form
    4,098.09/6,271.17 = 6,271.17/x
  3. Step 3: Cross multiply
    4,098.09x = 6,271.17 × 6,271.17
  4. Step 4: Simplify right side
    4,098.09x = 39,327,596.69
  5. Step 5: Solve for x
    x = 39,327,596.69/4,098.09
  6. Step 6: Final answer
    x = 9,596.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.