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Finding the Third Proportional to 2,074.78 and 2,853.14

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Solution

The third proportional to 2,074.78 and 2,853.14 is: 3,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.78 : 2,853.14 = 2,853.14 : x
  2. Step 2: Convert to fraction form
    2,074.78/2,853.14 = 2,853.14/x
  3. Step 3: Cross multiply
    2,074.78x = 2,853.14 × 2,853.14
  4. Step 4: Simplify right side
    2,074.78x = 8,140,411.43
  5. Step 5: Solve for x
    x = 8,140,411.43/2,074.78
  6. Step 6: Final answer
    x = 3,923.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.