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Finding the Third Proportional to 12,717 and 29,408.06

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Solution

The third proportional to 12,717 and 29,408.06 is: 68,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 29,408.06 = 29,408.06 : x
  2. Step 2: Convert to fraction form
    12,717/29,408.06 = 29,408.06/x
  3. Step 3: Cross multiply
    12,717x = 29,408.06 × 29,408.06
  4. Step 4: Simplify right side
    12,717x = 864,834,140.00
  5. Step 5: Solve for x
    x = 864,834,140.00/12,717
  6. Step 6: Final answer
    x = 68,006.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.