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Finding the Third Proportional to 2,343.94 and 5,140.97

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Solution

The third proportional to 2,343.94 and 5,140.97 is: 11,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.94 : 5,140.97 = 5,140.97 : x
  2. Step 2: Convert to fraction form
    2,343.94/5,140.97 = 5,140.97/x
  3. Step 3: Cross multiply
    2,343.94x = 5,140.97 × 5,140.97
  4. Step 4: Simplify right side
    2,343.94x = 26,429,559.69
  5. Step 5: Solve for x
    x = 26,429,559.69/2,343.94
  6. Step 6: Final answer
    x = 11,275.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.