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Finding the Third Proportional to 3,142.13 and 4,952.81

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Solution

The third proportional to 3,142.13 and 4,952.81 is: 7,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.13 : 4,952.81 = 4,952.81 : x
  2. Step 2: Convert to fraction form
    3,142.13/4,952.81 = 4,952.81/x
  3. Step 3: Cross multiply
    3,142.13x = 4,952.81 × 4,952.81
  4. Step 4: Simplify right side
    3,142.13x = 24,530,351.66
  5. Step 5: Solve for x
    x = 24,530,351.66/3,142.13
  6. Step 6: Final answer
    x = 7,806.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.