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Finding the Third Proportional to 1,708.31 and 3,751.31

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Solution

The third proportional to 1,708.31 and 3,751.31 is: 8,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.31 : 3,751.31 = 3,751.31 : x
  2. Step 2: Convert to fraction form
    1,708.31/3,751.31 = 3,751.31/x
  3. Step 3: Cross multiply
    1,708.31x = 3,751.31 × 3,751.31
  4. Step 4: Simplify right side
    1,708.31x = 14,072,345.47
  5. Step 5: Solve for x
    x = 14,072,345.47/1,708.31
  6. Step 6: Final answer
    x = 8,237.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.