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Finding the Third Proportional to 24,368 and 49,760

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Solution

The third proportional to 24,368 and 49,760 is: 101,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,368 : 49,760 = 49,760 : x
  2. Step 2: Convert to fraction form
    24,368/49,760 = 49,760/x
  3. Step 3: Cross multiply
    24,368x = 49,760 × 49,760
  4. Step 4: Simplify right side
    24,368x = 2,476,057,600
  5. Step 5: Solve for x
    x = 2,476,057,600/24,368
  6. Step 6: Final answer
    x = 101,611.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.