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Finding the Third Proportional to 13,856 and 29,697

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Solution

The third proportional to 13,856 and 29,697 is: 63,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 29,697 = 29,697 : x
  2. Step 2: Convert to fraction form
    13,856/29,697 = 29,697/x
  3. Step 3: Cross multiply
    13,856x = 29,697 × 29,697
  4. Step 4: Simplify right side
    13,856x = 881,911,809
  5. Step 5: Solve for x
    x = 881,911,809/13,856
  6. Step 6: Final answer
    x = 63,648.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.