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Finding the Third Proportional to 38,340.84 and 41,689.69

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Solution

The third proportional to 38,340.84 and 41,689.69 is: 45,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,340.84 : 41,689.69 = 41,689.69 : x
  2. Step 2: Convert to fraction form
    38,340.84/41,689.69 = 41,689.69/x
  3. Step 3: Cross multiply
    38,340.84x = 41,689.69 × 41,689.69
  4. Step 4: Simplify right side
    38,340.84x = 1,738,030,043.85
  5. Step 5: Solve for x
    x = 1,738,030,043.85/38,340.84
  6. Step 6: Final answer
    x = 45,331.03

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.