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Finding the Third Proportional to 3,067.50 and 6,508.50

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Solution

The third proportional to 3,067.50 and 6,508.50 is: 13,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.50 : 6,508.50 = 6,508.50 : x
  2. Step 2: Convert to fraction form
    3,067.50/6,508.50 = 6,508.50/x
  3. Step 3: Cross multiply
    3,067.50x = 6,508.50 × 6,508.50
  4. Step 4: Simplify right side
    3,067.50x = 42,360,572.25
  5. Step 5: Solve for x
    x = 42,360,572.25/3,067.50
  6. Step 6: Final answer
    x = 13,809.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.