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Finding the Third Proportional to 45,750 and 69,948

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Solution

The third proportional to 45,750 and 69,948 is: 106,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,750 : 69,948 = 69,948 : x
  2. Step 2: Convert to fraction form
    45,750/69,948 = 69,948/x
  3. Step 3: Cross multiply
    45,750x = 69,948 × 69,948
  4. Step 4: Simplify right side
    45,750x = 4,892,722,704
  5. Step 5: Solve for x
    x = 4,892,722,704/45,750
  6. Step 6: Final answer
    x = 106,944.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.