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Finding the Third Proportional to 43,746.75 and 69,773.75

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Solution

The third proportional to 43,746.75 and 69,773.75 is: 111,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746.75 : 69,773.75 = 69,773.75 : x
  2. Step 2: Convert to fraction form
    43,746.75/69,773.75 = 69,773.75/x
  3. Step 3: Cross multiply
    43,746.75x = 69,773.75 × 69,773.75
  4. Step 4: Simplify right side
    43,746.75x = 4,868,376,189.06
  5. Step 5: Solve for x
    x = 4,868,376,189.06/43,746.75
  6. Step 6: Final answer
    x = 111,285.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.