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Finding the Third Proportional to 3,508.50 and 8,508

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Solution

The third proportional to 3,508.50 and 8,508 is: 20,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.50 : 8,508 = 8,508 : x
  2. Step 2: Convert to fraction form
    3,508.50/8,508 = 8,508/x
  3. Step 3: Cross multiply
    3,508.50x = 8,508 × 8,508
  4. Step 4: Simplify right side
    3,508.50x = 72,386,064
  5. Step 5: Solve for x
    x = 72,386,064/3,508.50
  6. Step 6: Final answer
    x = 20,631.63

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.