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Finding the Third Proportional to 16,129.13 and 17,749.13

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Solution

The third proportional to 16,129.13 and 17,749.13 is: 19,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.13 : 17,749.13 = 17,749.13 : x
  2. Step 2: Convert to fraction form
    16,129.13/17,749.13 = 17,749.13/x
  3. Step 3: Cross multiply
    16,129.13x = 17,749.13 × 17,749.13
  4. Step 4: Simplify right side
    16,129.13x = 315,031,438.27
  5. Step 5: Solve for x
    x = 315,031,438.27/16,129.13
  6. Step 6: Final answer
    x = 19,531.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.