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Finding the Third Proportional to 17,042.91 and 36,271.97

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Solution

The third proportional to 17,042.91 and 36,271.97 is: 77,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.91 : 36,271.97 = 36,271.97 : x
  2. Step 2: Convert to fraction form
    17,042.91/36,271.97 = 36,271.97/x
  3. Step 3: Cross multiply
    17,042.91x = 36,271.97 × 36,271.97
  4. Step 4: Simplify right side
    17,042.91x = 1,315,655,717.00
  5. Step 5: Solve for x
    x = 1,315,655,717.00/17,042.91
  6. Step 6: Final answer
    x = 77,196.68

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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.