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Finding the Third Proportional to 6,177.38 and 13,326.75

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Solution

The third proportional to 6,177.38 and 13,326.75 is: 28,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.38 : 13,326.75 = 13,326.75 : x
  2. Step 2: Convert to fraction form
    6,177.38/13,326.75 = 13,326.75/x
  3. Step 3: Cross multiply
    6,177.38x = 13,326.75 × 13,326.75
  4. Step 4: Simplify right side
    6,177.38x = 177,602,265.56
  5. Step 5: Solve for x
    x = 177,602,265.56/6,177.38
  6. Step 6: Final answer
    x = 28,750.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.