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Finding the Third Proportional to 3,412.13 and 6,660.56

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Solution

The third proportional to 3,412.13 and 6,660.56 is: 13,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 6,660.56 = 6,660.56 : x
  2. Step 2: Convert to fraction form
    3,412.13/6,660.56 = 6,660.56/x
  3. Step 3: Cross multiply
    3,412.13x = 6,660.56 × 6,660.56
  4. Step 4: Simplify right side
    3,412.13x = 44,363,092.82
  5. Step 5: Solve for x
    x = 44,363,092.82/3,412.13
  6. Step 6: Final answer
    x = 13,001.60

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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.