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Finding the Third Proportional to 3,412.13 and 6,174.56

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Solution

The third proportional to 3,412.13 and 6,174.56 is: 11,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 6,174.56 = 6,174.56 : x
  2. Step 2: Convert to fraction form
    3,412.13/6,174.56 = 6,174.56/x
  3. Step 3: Cross multiply
    3,412.13x = 6,174.56 × 6,174.56
  4. Step 4: Simplify right side
    3,412.13x = 38,125,222.07
  5. Step 5: Solve for x
    x = 38,125,222.07/3,412.13
  6. Step 6: Final answer
    x = 11,173.45

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.