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Finding the Third Proportional to 34,532.50 and 48,742.38

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Solution

The third proportional to 34,532.50 and 48,742.38 is: 68,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,532.50 : 48,742.38 = 48,742.38 : x
  2. Step 2: Convert to fraction form
    34,532.50/48,742.38 = 48,742.38/x
  3. Step 3: Cross multiply
    34,532.50x = 48,742.38 × 48,742.38
  4. Step 4: Simplify right side
    34,532.50x = 2,375,819,120.64
  5. Step 5: Solve for x
    x = 2,375,819,120.64/34,532.50
  6. Step 6: Final answer
    x = 68,799.51

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