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Finding the Third Proportional to 42,826.50 and 60,873

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Solution

The third proportional to 42,826.50 and 60,873 is: 86,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,826.50 : 60,873 = 60,873 : x
  2. Step 2: Convert to fraction form
    42,826.50/60,873 = 60,873/x
  3. Step 3: Cross multiply
    42,826.50x = 60,873 × 60,873
  4. Step 4: Simplify right side
    42,826.50x = 3,705,522,129
  5. Step 5: Solve for x
    x = 3,705,522,129/42,826.50
  6. Step 6: Final answer
    x = 86,524.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.