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Finding the Third Proportional to 4,687.31 and 7,254.56

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Solution

The third proportional to 4,687.31 and 7,254.56 is: 11,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.31 : 7,254.56 = 7,254.56 : x
  2. Step 2: Convert to fraction form
    4,687.31/7,254.56 = 7,254.56/x
  3. Step 3: Cross multiply
    4,687.31x = 7,254.56 × 7,254.56
  4. Step 4: Simplify right side
    4,687.31x = 52,628,677.07
  5. Step 5: Solve for x
    x = 52,628,677.07/4,687.31
  6. Step 6: Final answer
    x = 11,227.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.