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Finding the Third Proportional to 22,496 and 47,888

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Solution

The third proportional to 22,496 and 47,888 is: 101,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496 : 47,888 = 47,888 : x
  2. Step 2: Convert to fraction form
    22,496/47,888 = 47,888/x
  3. Step 3: Cross multiply
    22,496x = 47,888 × 47,888
  4. Step 4: Simplify right side
    22,496x = 2,293,260,544
  5. Step 5: Solve for x
    x = 2,293,260,544/22,496
  6. Step 6: Final answer
    x = 101,940.81

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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.