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Finding the Third Proportional to 2,878.88 and 6,204.94

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Solution

The third proportional to 2,878.88 and 6,204.94 is: 13,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.88 : 6,204.94 = 6,204.94 : x
  2. Step 2: Convert to fraction form
    2,878.88/6,204.94 = 6,204.94/x
  3. Step 3: Cross multiply
    2,878.88x = 6,204.94 × 6,204.94
  4. Step 4: Simplify right side
    2,878.88x = 38,501,249.38
  5. Step 5: Solve for x
    x = 38,501,249.38/2,878.88
  6. Step 6: Final answer
    x = 13,373.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.