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Finding the Third Proportional to 3,568.50 and 7,683.84

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Solution

The third proportional to 3,568.50 and 7,683.84 is: 16,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.50 : 7,683.84 = 7,683.84 : x
  2. Step 2: Convert to fraction form
    3,568.50/7,683.84 = 7,683.84/x
  3. Step 3: Cross multiply
    3,568.50x = 7,683.84 × 7,683.84
  4. Step 4: Simplify right side
    3,568.50x = 59,041,454.77
  5. Step 5: Solve for x
    x = 59,041,454.77/3,568.50
  6. Step 6: Final answer
    x = 16,545.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.