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Finding the Third Proportional to 12,395 and 26,731

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Solution

The third proportional to 12,395 and 26,731 is: 57,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395 : 26,731 = 26,731 : x
  2. Step 2: Convert to fraction form
    12,395/26,731 = 26,731/x
  3. Step 3: Cross multiply
    12,395x = 26,731 × 26,731
  4. Step 4: Simplify right side
    12,395x = 714,546,361
  5. Step 5: Solve for x
    x = 714,546,361/12,395
  6. Step 6: Final answer
    x = 57,647.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.