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Finding the Third Proportional to 2,841.75 and 6,215.06

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Solution

The third proportional to 2,841.75 and 6,215.06 is: 13,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.75 : 6,215.06 = 6,215.06 : x
  2. Step 2: Convert to fraction form
    2,841.75/6,215.06 = 6,215.06/x
  3. Step 3: Cross multiply
    2,841.75x = 6,215.06 × 6,215.06
  4. Step 4: Simplify right side
    2,841.75x = 38,627,001.88
  5. Step 5: Solve for x
    x = 38,627,001.88/2,841.75
  6. Step 6: Final answer
    x = 13,592.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.