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Finding the Third Proportional to 12,586 and 26,378

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Solution

The third proportional to 12,586 and 26,378 is: 55,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586 : 26,378 = 26,378 : x
  2. Step 2: Convert to fraction form
    12,586/26,378 = 26,378/x
  3. Step 3: Cross multiply
    12,586x = 26,378 × 26,378
  4. Step 4: Simplify right side
    12,586x = 695,798,884
  5. Step 5: Solve for x
    x = 695,798,884/12,586
  6. Step 6: Final answer
    x = 55,283.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.