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Finding the Third Proportional to 4,030.69 and 6,228.38

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Solution

The third proportional to 4,030.69 and 6,228.38 is: 9,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.69 : 6,228.38 = 6,228.38 : x
  2. Step 2: Convert to fraction form
    4,030.69/6,228.38 = 6,228.38/x
  3. Step 3: Cross multiply
    4,030.69x = 6,228.38 × 6,228.38
  4. Step 4: Simplify right side
    4,030.69x = 38,792,655.14
  5. Step 5: Solve for x
    x = 38,792,655.14/4,030.69
  6. Step 6: Final answer
    x = 9,624.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.