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Finding the Third Proportional to 2,314.69 and 3,727.97

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Solution

The third proportional to 2,314.69 and 3,727.97 is: 6,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.69 : 3,727.97 = 3,727.97 : x
  2. Step 2: Convert to fraction form
    2,314.69/3,727.97 = 3,727.97/x
  3. Step 3: Cross multiply
    2,314.69x = 3,727.97 × 3,727.97
  4. Step 4: Simplify right side
    2,314.69x = 13,897,751.00
  5. Step 5: Solve for x
    x = 13,897,751.00/2,314.69
  6. Step 6: Final answer
    x = 6,004.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.