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Finding the Third Proportional to 40,138.50 and 62,355

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Solution

The third proportional to 40,138.50 and 62,355 is: 96,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,138.50 : 62,355 = 62,355 : x
  2. Step 2: Convert to fraction form
    40,138.50/62,355 = 62,355/x
  3. Step 3: Cross multiply
    40,138.50x = 62,355 × 62,355
  4. Step 4: Simplify right side
    40,138.50x = 3,888,146,025
  5. Step 5: Solve for x
    x = 3,888,146,025/40,138.50
  6. Step 6: Final answer
    x = 96,868.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.