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Finding the Third Proportional to 6,324.75 and 9,750.75

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Solution

The third proportional to 6,324.75 and 9,750.75 is: 15,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.75 : 9,750.75 = 9,750.75 : x
  2. Step 2: Convert to fraction form
    6,324.75/9,750.75 = 9,750.75/x
  3. Step 3: Cross multiply
    6,324.75x = 9,750.75 × 9,750.75
  4. Step 4: Simplify right side
    6,324.75x = 95,077,125.56
  5. Step 5: Solve for x
    x = 95,077,125.56/6,324.75
  6. Step 6: Final answer
    x = 15,032.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.