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Finding the Third Proportional to 4,215.96 and 4,683.68

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Solution

The third proportional to 4,215.96 and 4,683.68 is: 5,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.96 : 4,683.68 = 4,683.68 : x
  2. Step 2: Convert to fraction form
    4,215.96/4,683.68 = 4,683.68/x
  3. Step 3: Cross multiply
    4,215.96x = 4,683.68 × 4,683.68
  4. Step 4: Simplify right side
    4,215.96x = 21,936,882.86
  5. Step 5: Solve for x
    x = 21,936,882.86/4,215.96
  6. Step 6: Final answer
    x = 5,203.30

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.