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Finding the Third Proportional to 5,750.25 and 8,670.75

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Solution

The third proportional to 5,750.25 and 8,670.75 is: 13,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.25 : 8,670.75 = 8,670.75 : x
  2. Step 2: Convert to fraction form
    5,750.25/8,670.75 = 8,670.75/x
  3. Step 3: Cross multiply
    5,750.25x = 8,670.75 × 8,670.75
  4. Step 4: Simplify right side
    5,750.25x = 75,181,905.56
  5. Step 5: Solve for x
    x = 75,181,905.56/5,750.25
  6. Step 6: Final answer
    x = 13,074.55

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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.