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Finding the Third Proportional to 4,083.12 and 8,834.48

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Solution

The third proportional to 4,083.12 and 8,834.48 is: 19,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.12 : 8,834.48 = 8,834.48 : x
  2. Step 2: Convert to fraction form
    4,083.12/8,834.48 = 8,834.48/x
  3. Step 3: Cross multiply
    4,083.12x = 8,834.48 × 8,834.48
  4. Step 4: Simplify right side
    4,083.12x = 78,048,114.17
  5. Step 5: Solve for x
    x = 78,048,114.17/4,083.12
  6. Step 6: Final answer
    x = 19,114.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.