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Finding the Third Proportional to 13,659 and 29,721

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Solution

The third proportional to 13,659 and 29,721 is: 64,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659 : 29,721 = 29,721 : x
  2. Step 2: Convert to fraction form
    13,659/29,721 = 29,721/x
  3. Step 3: Cross multiply
    13,659x = 29,721 × 29,721
  4. Step 4: Simplify right side
    13,659x = 883,337,841
  5. Step 5: Solve for x
    x = 883,337,841/13,659
  6. Step 6: Final answer
    x = 64,670.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.