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Finding the Third Proportional to 24,363 and 49,878

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Solution

The third proportional to 24,363 and 49,878 is: 102,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363 : 49,878 = 49,878 : x
  2. Step 2: Convert to fraction form
    24,363/49,878 = 49,878/x
  3. Step 3: Cross multiply
    24,363x = 49,878 × 49,878
  4. Step 4: Simplify right side
    24,363x = 2,487,814,884
  5. Step 5: Solve for x
    x = 2,487,814,884/24,363
  6. Step 6: Final answer
    x = 102,114.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.