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Finding the Third Proportional to 44,781.75 and 69,896.25

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Solution

The third proportional to 44,781.75 and 69,896.25 is: 109,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,781.75 : 69,896.25 = 69,896.25 : x
  2. Step 2: Convert to fraction form
    44,781.75/69,896.25 = 69,896.25/x
  3. Step 3: Cross multiply
    44,781.75x = 69,896.25 × 69,896.25
  4. Step 4: Simplify right side
    44,781.75x = 4,885,485,764.06
  5. Step 5: Solve for x
    x = 4,885,485,764.06/44,781.75
  6. Step 6: Final answer
    x = 109,095.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.