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Finding the Third Proportional to 5,683.92 and 6,868.55

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Solution

The third proportional to 5,683.92 and 6,868.55 is: 8,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.92 : 6,868.55 = 6,868.55 : x
  2. Step 2: Convert to fraction form
    5,683.92/6,868.55 = 6,868.55/x
  3. Step 3: Cross multiply
    5,683.92x = 6,868.55 × 6,868.55
  4. Step 4: Simplify right side
    5,683.92x = 47,176,936.17
  5. Step 5: Solve for x
    x = 47,176,936.17/5,683.92
  6. Step 6: Final answer
    x = 8,300.07

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.