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Finding the Third Proportional to 23,658 and 51,924

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Solution

The third proportional to 23,658 and 51,924 is: 113,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658 : 51,924 = 51,924 : x
  2. Step 2: Convert to fraction form
    23,658/51,924 = 51,924/x
  3. Step 3: Cross multiply
    23,658x = 51,924 × 51,924
  4. Step 4: Simplify right side
    23,658x = 2,696,101,776
  5. Step 5: Solve for x
    x = 2,696,101,776/23,658
  6. Step 6: Final answer
    x = 113,961.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.