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Finding the Third Proportional to 6,568.75 and 9,921.31

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Solution

The third proportional to 6,568.75 and 9,921.31 is: 14,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.75 : 9,921.31 = 9,921.31 : x
  2. Step 2: Convert to fraction form
    6,568.75/9,921.31 = 9,921.31/x
  3. Step 3: Cross multiply
    6,568.75x = 9,921.31 × 9,921.31
  4. Step 4: Simplify right side
    6,568.75x = 98,432,441.72
  5. Step 5: Solve for x
    x = 98,432,441.72/6,568.75
  6. Step 6: Final answer
    x = 14,984.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.