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Finding the Third Proportional to 6,131.25 and 12,948.75

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Solution

The third proportional to 6,131.25 and 12,948.75 is: 27,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.25 : 12,948.75 = 12,948.75 : x
  2. Step 2: Convert to fraction form
    6,131.25/12,948.75 = 12,948.75/x
  3. Step 3: Cross multiply
    6,131.25x = 12,948.75 × 12,948.75
  4. Step 4: Simplify right side
    6,131.25x = 167,670,126.56
  5. Step 5: Solve for x
    x = 167,670,126.56/6,131.25
  6. Step 6: Final answer
    x = 27,346.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.