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Finding the Third Proportional to 2,784.94 and 5,988.38

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Solution

The third proportional to 2,784.94 and 5,988.38 is: 12,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.94 : 5,988.38 = 5,988.38 : x
  2. Step 2: Convert to fraction form
    2,784.94/5,988.38 = 5,988.38/x
  3. Step 3: Cross multiply
    2,784.94x = 5,988.38 × 5,988.38
  4. Step 4: Simplify right side
    2,784.94x = 35,860,635.14
  5. Step 5: Solve for x
    x = 35,860,635.14/2,784.94
  6. Step 6: Final answer
    x = 12,876.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.