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Finding the Third Proportional to 8,377.80 and 17,444.74

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Solution

The third proportional to 8,377.80 and 17,444.74 is: 36,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.80 : 17,444.74 = 17,444.74 : x
  2. Step 2: Convert to fraction form
    8,377.80/17,444.74 = 17,444.74/x
  3. Step 3: Cross multiply
    8,377.80x = 17,444.74 × 17,444.74
  4. Step 4: Simplify right side
    8,377.80x = 304,319,029.99
  5. Step 5: Solve for x
    x = 304,319,029.99/8,377.80
  6. Step 6: Final answer
    x = 36,324.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.