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Finding the Third Proportional to 3,630 and 7,920.56

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Solution

The third proportional to 3,630 and 7,920.56 is: 17,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630 : 7,920.56 = 7,920.56 : x
  2. Step 2: Convert to fraction form
    3,630/7,920.56 = 7,920.56/x
  3. Step 3: Cross multiply
    3,630x = 7,920.56 × 7,920.56
  4. Step 4: Simplify right side
    3,630x = 62,735,310.32
  5. Step 5: Solve for x
    x = 62,735,310.32/3,630
  6. Step 6: Final answer
    x = 17,282.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.