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Finding the Third Proportional to 4,187.53 and 5,683.92

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Solution

The third proportional to 4,187.53 and 5,683.92 is: 7,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.53 : 5,683.92 = 5,683.92 : x
  2. Step 2: Convert to fraction form
    4,187.53/5,683.92 = 5,683.92/x
  3. Step 3: Cross multiply
    4,187.53x = 5,683.92 × 5,683.92
  4. Step 4: Simplify right side
    4,187.53x = 32,306,967.88
  5. Step 5: Solve for x
    x = 32,306,967.88/4,187.53
  6. Step 6: Final answer
    x = 7,715.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.