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Finding the Third Proportional to 24,417 and 51,993

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Solution

The third proportional to 24,417 and 51,993 is: 110,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 51,993 = 51,993 : x
  2. Step 2: Convert to fraction form
    24,417/51,993 = 51,993/x
  3. Step 3: Cross multiply
    24,417x = 51,993 × 51,993
  4. Step 4: Simplify right side
    24,417x = 2,703,272,049
  5. Step 5: Solve for x
    x = 2,703,272,049/24,417
  6. Step 6: Final answer
    x = 110,712.70

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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.