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Finding the Third Proportional to 3,159.38 and 6,795.75

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Solution

The third proportional to 3,159.38 and 6,795.75 is: 14,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.38 : 6,795.75 = 6,795.75 : x
  2. Step 2: Convert to fraction form
    3,159.38/6,795.75 = 6,795.75/x
  3. Step 3: Cross multiply
    3,159.38x = 6,795.75 × 6,795.75
  4. Step 4: Simplify right side
    3,159.38x = 46,182,218.06
  5. Step 5: Solve for x
    x = 46,182,218.06/3,159.38
  6. Step 6: Final answer
    x = 14,617.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.