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Finding the Third Proportional to 16,102.69 and 34,345.69

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Solution

The third proportional to 16,102.69 and 34,345.69 is: 73,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.69 : 34,345.69 = 34,345.69 : x
  2. Step 2: Convert to fraction form
    16,102.69/34,345.69 = 34,345.69/x
  3. Step 3: Cross multiply
    16,102.69x = 34,345.69 × 34,345.69
  4. Step 4: Simplify right side
    16,102.69x = 1,179,626,249.85
  5. Step 5: Solve for x
    x = 1,179,626,249.85/16,102.69
  6. Step 6: Final answer
    x = 73,256.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.