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Finding the Third Proportional to 41,395.50 and 81,535.50

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Solution

The third proportional to 41,395.50 and 81,535.50 is: 160,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,395.50 : 81,535.50 = 81,535.50 : x
  2. Step 2: Convert to fraction form
    41,395.50/81,535.50 = 81,535.50/x
  3. Step 3: Cross multiply
    41,395.50x = 81,535.50 × 81,535.50
  4. Step 4: Simplify right side
    41,395.50x = 6,648,037,760.25
  5. Step 5: Solve for x
    x = 6,648,037,760.25/41,395.50
  6. Step 6: Final answer
    x = 160,598.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.