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Finding the Third Proportional to 13,647 and 29,481

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Solution

The third proportional to 13,647 and 29,481 is: 63,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647 : 29,481 = 29,481 : x
  2. Step 2: Convert to fraction form
    13,647/29,481 = 29,481/x
  3. Step 3: Cross multiply
    13,647x = 29,481 × 29,481
  4. Step 4: Simplify right side
    13,647x = 869,129,361
  5. Step 5: Solve for x
    x = 869,129,361/13,647
  6. Step 6: Final answer
    x = 63,686.48

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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.