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Finding the Third Proportional to 1,837.69 and 2,847.66

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Solution

The third proportional to 1,837.69 and 2,847.66 is: 4,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.69 : 2,847.66 = 2,847.66 : x
  2. Step 2: Convert to fraction form
    1,837.69/2,847.66 = 2,847.66/x
  3. Step 3: Cross multiply
    1,837.69x = 2,847.66 × 2,847.66
  4. Step 4: Simplify right side
    1,837.69x = 8,109,146.12
  5. Step 5: Solve for x
    x = 8,109,146.12/1,837.69
  6. Step 6: Final answer
    x = 4,412.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.