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Finding the Third Proportional to 32,410.13 and 69,741

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Solution

The third proportional to 32,410.13 and 69,741 is: 150,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.13 : 69,741 = 69,741 : x
  2. Step 2: Convert to fraction form
    32,410.13/69,741 = 69,741/x
  3. Step 3: Cross multiply
    32,410.13x = 69,741 × 69,741
  4. Step 4: Simplify right side
    32,410.13x = 4,863,807,081
  5. Step 5: Solve for x
    x = 4,863,807,081/32,410.13
  6. Step 6: Final answer
    x = 150,070.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.