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Finding the Third Proportional to 23,332 and 49,796

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Solution

The third proportional to 23,332 and 49,796 is: 106,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332 : 49,796 = 49,796 : x
  2. Step 2: Convert to fraction form
    23,332/49,796 = 49,796/x
  3. Step 3: Cross multiply
    23,332x = 49,796 × 49,796
  4. Step 4: Simplify right side
    23,332x = 2,479,641,616
  5. Step 5: Solve for x
    x = 2,479,641,616/23,332
  6. Step 6: Final answer
    x = 106,276.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.