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Finding the Third Proportional to 54,676.13 and 69,865.88

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Solution

The third proportional to 54,676.13 and 69,865.88 is: 89,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676.13 : 69,865.88 = 69,865.88 : x
  2. Step 2: Convert to fraction form
    54,676.13/69,865.88 = 69,865.88/x
  3. Step 3: Cross multiply
    54,676.13x = 69,865.88 × 69,865.88
  4. Step 4: Simplify right side
    54,676.13x = 4,881,240,489.52
  5. Step 5: Solve for x
    x = 4,881,240,489.52/54,676.13
  6. Step 6: Final answer
    x = 89,275.54

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Why These Related Problems?

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