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Finding the Third Proportional to 22,677 and 49,368

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Solution

The third proportional to 22,677 and 49,368 is: 107,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677 : 49,368 = 49,368 : x
  2. Step 2: Convert to fraction form
    22,677/49,368 = 49,368/x
  3. Step 3: Cross multiply
    22,677x = 49,368 × 49,368
  4. Step 4: Simplify right side
    22,677x = 2,437,199,424
  5. Step 5: Solve for x
    x = 2,437,199,424/22,677
  6. Step 6: Final answer
    x = 107,474.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.