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Finding the Third Proportional to 2,419.88 and 6,191.44

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Solution

The third proportional to 2,419.88 and 6,191.44 is: 15,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.88 : 6,191.44 = 6,191.44 : x
  2. Step 2: Convert to fraction form
    2,419.88/6,191.44 = 6,191.44/x
  3. Step 3: Cross multiply
    2,419.88x = 6,191.44 × 6,191.44
  4. Step 4: Simplify right side
    2,419.88x = 38,333,898.32
  5. Step 5: Solve for x
    x = 38,333,898.32/2,419.88
  6. Step 6: Final answer
    x = 15,841.27

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.