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Finding the Third Proportional to 13,699 and 29,910

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Solution

The third proportional to 13,699 and 29,910 is: 65,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699 : 29,910 = 29,910 : x
  2. Step 2: Convert to fraction form
    13,699/29,910 = 29,910/x
  3. Step 3: Cross multiply
    13,699x = 29,910 × 29,910
  4. Step 4: Simplify right side
    13,699x = 894,608,100
  5. Step 5: Solve for x
    x = 894,608,100/13,699
  6. Step 6: Final answer
    x = 65,304.63

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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.