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Finding the Third Proportional to 24,392 and 49,648

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Solution

The third proportional to 24,392 and 49,648 is: 101,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 49,648 = 49,648 : x
  2. Step 2: Convert to fraction form
    24,392/49,648 = 49,648/x
  3. Step 3: Cross multiply
    24,392x = 49,648 × 49,648
  4. Step 4: Simplify right side
    24,392x = 2,464,923,904
  5. Step 5: Solve for x
    x = 2,464,923,904/24,392
  6. Step 6: Final answer
    x = 101,054.60

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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.