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Finding the Third Proportional to 2,878.03 and 6,164.44

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Solution

The third proportional to 2,878.03 and 6,164.44 is: 13,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.03 : 6,164.44 = 6,164.44 : x
  2. Step 2: Convert to fraction form
    2,878.03/6,164.44 = 6,164.44/x
  3. Step 3: Cross multiply
    2,878.03x = 6,164.44 × 6,164.44
  4. Step 4: Simplify right side
    2,878.03x = 38,000,289.69
  5. Step 5: Solve for x
    x = 38,000,289.69/2,878.03
  6. Step 6: Final answer
    x = 13,203.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.