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Finding the Third Proportional to 54,676.50 and 69,864.75

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Solution

The third proportional to 54,676.50 and 69,864.75 is: 89,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676.50 : 69,864.75 = 69,864.75 : x
  2. Step 2: Convert to fraction form
    54,676.50/69,864.75 = 69,864.75/x
  3. Step 3: Cross multiply
    54,676.50x = 69,864.75 × 69,864.75
  4. Step 4: Simplify right side
    54,676.50x = 4,881,083,292.56
  5. Step 5: Solve for x
    x = 4,881,083,292.56/54,676.50
  6. Step 6: Final answer
    x = 89,272.05

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.