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Finding the Third Proportional to 34,400.75 and 48,443.75

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Solution

The third proportional to 34,400.75 and 48,443.75 is: 68,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.75 : 48,443.75 = 48,443.75 : x
  2. Step 2: Convert to fraction form
    34,400.75/48,443.75 = 48,443.75/x
  3. Step 3: Cross multiply
    34,400.75x = 48,443.75 × 48,443.75
  4. Step 4: Simplify right side
    34,400.75x = 2,346,796,914.06
  5. Step 5: Solve for x
    x = 2,346,796,914.06/34,400.75
  6. Step 6: Final answer
    x = 68,219.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.