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Finding the Third Proportional to 4,219.03 and 6,294.09

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Solution

The third proportional to 4,219.03 and 6,294.09 is: 9,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.03 : 6,294.09 = 6,294.09 : x
  2. Step 2: Convert to fraction form
    4,219.03/6,294.09 = 6,294.09/x
  3. Step 3: Cross multiply
    4,219.03x = 6,294.09 × 6,294.09
  4. Step 4: Simplify right side
    4,219.03x = 39,615,616.13
  5. Step 5: Solve for x
    x = 39,615,616.13/4,219.03
  6. Step 6: Final answer
    x = 9,389.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.