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Finding the Third Proportional to 21,982 and 48,239

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Solution

The third proportional to 21,982 and 48,239 is: 105,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 48,239 = 48,239 : x
  2. Step 2: Convert to fraction form
    21,982/48,239 = 48,239/x
  3. Step 3: Cross multiply
    21,982x = 48,239 × 48,239
  4. Step 4: Simplify right side
    21,982x = 2,327,001,121
  5. Step 5: Solve for x
    x = 2,327,001,121/21,982
  6. Step 6: Final answer
    x = 105,859.39

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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.