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Finding the Third Proportional to 41,132.50 and 62,205

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Solution

The third proportional to 41,132.50 and 62,205 is: 94,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132.50 : 62,205 = 62,205 : x
  2. Step 2: Convert to fraction form
    41,132.50/62,205 = 62,205/x
  3. Step 3: Cross multiply
    41,132.50x = 62,205 × 62,205
  4. Step 4: Simplify right side
    41,132.50x = 3,869,462,025
  5. Step 5: Solve for x
    x = 3,869,462,025/41,132.50
  6. Step 6: Final answer
    x = 94,073.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.