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Finding the Third Proportional to 3,166.59 and 6,720.47

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Solution

The third proportional to 3,166.59 and 6,720.47 is: 14,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.59 : 6,720.47 = 6,720.47 : x
  2. Step 2: Convert to fraction form
    3,166.59/6,720.47 = 6,720.47/x
  3. Step 3: Cross multiply
    3,166.59x = 6,720.47 × 6,720.47
  4. Step 4: Simplify right side
    3,166.59x = 45,164,700.22
  5. Step 5: Solve for x
    x = 45,164,700.22/3,166.59
  6. Step 6: Final answer
    x = 14,262.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.