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Finding the Third Proportional to 22,612 and 49,117

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Solution

The third proportional to 22,612 and 49,117 is: 106,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612 : 49,117 = 49,117 : x
  2. Step 2: Convert to fraction form
    22,612/49,117 = 49,117/x
  3. Step 3: Cross multiply
    22,612x = 49,117 × 49,117
  4. Step 4: Simplify right side
    22,612x = 2,412,479,689
  5. Step 5: Solve for x
    x = 2,412,479,689/22,612
  6. Step 6: Final answer
    x = 106,690.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.