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Finding the Third Proportional to 3,166.69 and 4,874.53

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Solution

The third proportional to 3,166.69 and 4,874.53 is: 7,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.69 : 4,874.53 = 4,874.53 : x
  2. Step 2: Convert to fraction form
    3,166.69/4,874.53 = 4,874.53/x
  3. Step 3: Cross multiply
    3,166.69x = 4,874.53 × 4,874.53
  4. Step 4: Simplify right side
    3,166.69x = 23,761,054.91
  5. Step 5: Solve for x
    x = 23,761,054.91/3,166.69
  6. Step 6: Final answer
    x = 7,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.