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Finding the Third Proportional to 41,106.75 and 61,660.50

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Solution

The third proportional to 41,106.75 and 61,660.50 is: 92,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,106.75 : 61,660.50 = 61,660.50 : x
  2. Step 2: Convert to fraction form
    41,106.75/61,660.50 = 61,660.50/x
  3. Step 3: Cross multiply
    41,106.75x = 61,660.50 × 61,660.50
  4. Step 4: Simplify right side
    41,106.75x = 3,802,017,260.25
  5. Step 5: Solve for x
    x = 3,802,017,260.25/41,106.75
  6. Step 6: Final answer
    x = 92,491.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.