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Finding the Third Proportional to 3,869.02 and 4,233.52

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Solution

The third proportional to 3,869.02 and 4,233.52 is: 4,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.02 : 4,233.52 = 4,233.52 : x
  2. Step 2: Convert to fraction form
    3,869.02/4,233.52 = 4,233.52/x
  3. Step 3: Cross multiply
    3,869.02x = 4,233.52 × 4,233.52
  4. Step 4: Simplify right side
    3,869.02x = 17,922,654.55
  5. Step 5: Solve for x
    x = 17,922,654.55/3,869.02
  6. Step 6: Final answer
    x = 4,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.