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Finding the Third Proportional to 2,134.69 and 2,878.03

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Solution

The third proportional to 2,134.69 and 2,878.03 is: 3,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.69 : 2,878.03 = 2,878.03 : x
  2. Step 2: Convert to fraction form
    2,134.69/2,878.03 = 2,878.03/x
  3. Step 3: Cross multiply
    2,134.69x = 2,878.03 × 2,878.03
  4. Step 4: Simplify right side
    2,134.69x = 8,283,063.88
  5. Step 5: Solve for x
    x = 8,283,063.88/2,134.69
  6. Step 6: Final answer
    x = 3,880.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.