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Finding the Third Proportional to 34,479 and 48,795.75

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Solution

The third proportional to 34,479 and 48,795.75 is: 69,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,479 : 48,795.75 = 48,795.75 : x
  2. Step 2: Convert to fraction form
    34,479/48,795.75 = 48,795.75/x
  3. Step 3: Cross multiply
    34,479x = 48,795.75 × 48,795.75
  4. Step 4: Simplify right side
    34,479x = 2,381,025,218.06
  5. Step 5: Solve for x
    x = 2,381,025,218.06/34,479
  6. Step 6: Final answer
    x = 69,057.26

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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.