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Finding the Third Proportional to 34,723 and 49,165

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Solution

The third proportional to 34,723 and 49,165 is: 69,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,723 : 49,165 = 49,165 : x
  2. Step 2: Convert to fraction form
    34,723/49,165 = 49,165/x
  3. Step 3: Cross multiply
    34,723x = 49,165 × 49,165
  4. Step 4: Simplify right side
    34,723x = 2,417,197,225
  5. Step 5: Solve for x
    x = 2,417,197,225/34,723
  6. Step 6: Final answer
    x = 69,613.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.