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Finding the Third Proportional to 3,669.05 and 6,061.71

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Solution

The third proportional to 3,669.05 and 6,061.71 is: 10,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.05 : 6,061.71 = 6,061.71 : x
  2. Step 2: Convert to fraction form
    3,669.05/6,061.71 = 6,061.71/x
  3. Step 3: Cross multiply
    3,669.05x = 6,061.71 × 6,061.71
  4. Step 4: Simplify right side
    3,669.05x = 36,744,339.49
  5. Step 5: Solve for x
    x = 36,744,339.49/3,669.05
  6. Step 6: Final answer
    x = 10,014.68

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.