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Finding the Third Proportional to 10,278 and 23,982

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Solution

The third proportional to 10,278 and 23,982 is: 55,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 23,982 = 23,982 : x
  2. Step 2: Convert to fraction form
    10,278/23,982 = 23,982/x
  3. Step 3: Cross multiply
    10,278x = 23,982 × 23,982
  4. Step 4: Simplify right side
    10,278x = 575,136,324
  5. Step 5: Solve for x
    x = 575,136,324/10,278
  6. Step 6: Final answer
    x = 55,958

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.