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Finding the Third Proportional to 24,332 and 49,333

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Solution

The third proportional to 24,332 and 49,333 is: 100,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332 : 49,333 = 49,333 : x
  2. Step 2: Convert to fraction form
    24,332/49,333 = 49,333/x
  3. Step 3: Cross multiply
    24,332x = 49,333 × 49,333
  4. Step 4: Simplify right side
    24,332x = 2,433,744,889
  5. Step 5: Solve for x
    x = 2,433,744,889/24,332
  6. Step 6: Final answer
    x = 100,022.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.