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Finding the Third Proportional to 3,122.72 and 6,708.66

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Solution

The third proportional to 3,122.72 and 6,708.66 is: 14,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.72 : 6,708.66 = 6,708.66 : x
  2. Step 2: Convert to fraction form
    3,122.72/6,708.66 = 6,708.66/x
  3. Step 3: Cross multiply
    3,122.72x = 6,708.66 × 6,708.66
  4. Step 4: Simplify right side
    3,122.72x = 45,006,068.68
  5. Step 5: Solve for x
    x = 45,006,068.68/3,122.72
  6. Step 6: Final answer
    x = 14,412.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.