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Finding the Third Proportional to 3,930.19 and 8,641.69

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Solution

The third proportional to 3,930.19 and 8,641.69 is: 19,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.19 : 8,641.69 = 8,641.69 : x
  2. Step 2: Convert to fraction form
    3,930.19/8,641.69 = 8,641.69/x
  3. Step 3: Cross multiply
    3,930.19x = 8,641.69 × 8,641.69
  4. Step 4: Simplify right side
    3,930.19x = 74,678,762.85
  5. Step 5: Solve for x
    x = 74,678,762.85/3,930.19
  6. Step 6: Final answer
    x = 19,001.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.