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Finding the Third Proportional to 1,773.14 and 2,684.39

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Solution

The third proportional to 1,773.14 and 2,684.39 is: 4,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.14 : 2,684.39 = 2,684.39 : x
  2. Step 2: Convert to fraction form
    1,773.14/2,684.39 = 2,684.39/x
  3. Step 3: Cross multiply
    1,773.14x = 2,684.39 × 2,684.39
  4. Step 4: Simplify right side
    1,773.14x = 7,205,953.03
  5. Step 5: Solve for x
    x = 7,205,953.03/1,773.14
  6. Step 6: Final answer
    x = 4,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.