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Finding the Third Proportional to 4,062.38 and 8,397.56

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Solution

The third proportional to 4,062.38 and 8,397.56 is: 17,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.38 : 8,397.56 = 8,397.56 : x
  2. Step 2: Convert to fraction form
    4,062.38/8,397.56 = 8,397.56/x
  3. Step 3: Cross multiply
    4,062.38x = 8,397.56 × 8,397.56
  4. Step 4: Simplify right side
    4,062.38x = 70,519,055.94
  5. Step 5: Solve for x
    x = 70,519,055.94/4,062.38
  6. Step 6: Final answer
    x = 17,359.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.