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Finding the Third Proportional to 34,596.75 and 44,207.75

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Solution

The third proportional to 34,596.75 and 44,207.75 is: 56,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596.75 : 44,207.75 = 44,207.75 : x
  2. Step 2: Convert to fraction form
    34,596.75/44,207.75 = 44,207.75/x
  3. Step 3: Cross multiply
    34,596.75x = 44,207.75 × 44,207.75
  4. Step 4: Simplify right side
    34,596.75x = 1,954,325,160.06
  5. Step 5: Solve for x
    x = 1,954,325,160.06/34,596.75
  6. Step 6: Final answer
    x = 56,488.69

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