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Finding the Third Proportional to 41,704 and 60,935

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Solution

The third proportional to 41,704 and 60,935 is: 89,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,704 : 60,935 = 60,935 : x
  2. Step 2: Convert to fraction form
    41,704/60,935 = 60,935/x
  3. Step 3: Cross multiply
    41,704x = 60,935 × 60,935
  4. Step 4: Simplify right side
    41,704x = 3,713,074,225
  5. Step 5: Solve for x
    x = 3,713,074,225/41,704
  6. Step 6: Final answer
    x = 89,034.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.