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Finding the Third Proportional to 34,895.25 and 44,808.75

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Solution

The third proportional to 34,895.25 and 44,808.75 is: 57,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,895.25 : 44,808.75 = 44,808.75 : x
  2. Step 2: Convert to fraction form
    34,895.25/44,808.75 = 44,808.75/x
  3. Step 3: Cross multiply
    34,895.25x = 44,808.75 × 44,808.75
  4. Step 4: Simplify right side
    34,895.25x = 2,007,824,076.56
  5. Step 5: Solve for x
    x = 2,007,824,076.56/34,895.25
  6. Step 6: Final answer
    x = 57,538.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.