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Finding the Third Proportional to 8,508.80 and 16,274.36

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Solution

The third proportional to 8,508.80 and 16,274.36 is: 31,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.80 : 16,274.36 = 16,274.36 : x
  2. Step 2: Convert to fraction form
    8,508.80/16,274.36 = 16,274.36/x
  3. Step 3: Cross multiply
    8,508.80x = 16,274.36 × 16,274.36
  4. Step 4: Simplify right side
    8,508.80x = 264,854,645.92
  5. Step 5: Solve for x
    x = 264,854,645.92/8,508.80
  6. Step 6: Final answer
    x = 31,127.16

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.