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Finding the Third Proportional to 4,024.69 and 6,199.03

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Solution

The third proportional to 4,024.69 and 6,199.03 is: 9,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.69 : 6,199.03 = 6,199.03 : x
  2. Step 2: Convert to fraction form
    4,024.69/6,199.03 = 6,199.03/x
  3. Step 3: Cross multiply
    4,024.69x = 6,199.03 × 6,199.03
  4. Step 4: Simplify right side
    4,024.69x = 38,427,988.44
  5. Step 5: Solve for x
    x = 38,427,988.44/4,024.69
  6. Step 6: Final answer
    x = 9,548.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.