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Finding the Third Proportional to 10,977 and 25,269

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Solution

The third proportional to 10,977 and 25,269 is: 58,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 25,269 = 25,269 : x
  2. Step 2: Convert to fraction form
    10,977/25,269 = 25,269/x
  3. Step 3: Cross multiply
    10,977x = 25,269 × 25,269
  4. Step 4: Simplify right side
    10,977x = 638,522,361
  5. Step 5: Solve for x
    x = 638,522,361/10,977
  6. Step 6: Final answer
    x = 58,169.11

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.