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Finding the Third Proportional to 2,187.84 and 3,396.94

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Solution

The third proportional to 2,187.84 and 3,396.94 is: 5,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.84 : 3,396.94 = 3,396.94 : x
  2. Step 2: Convert to fraction form
    2,187.84/3,396.94 = 3,396.94/x
  3. Step 3: Cross multiply
    2,187.84x = 3,396.94 × 3,396.94
  4. Step 4: Simplify right side
    2,187.84x = 11,539,184.38
  5. Step 5: Solve for x
    x = 11,539,184.38/2,187.84
  6. Step 6: Final answer
    x = 5,274.23

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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.