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Finding the Third Proportional to 4,035.38 and 9,102.94

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Solution

The third proportional to 4,035.38 and 9,102.94 is: 20,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035.38 : 9,102.94 = 9,102.94 : x
  2. Step 2: Convert to fraction form
    4,035.38/9,102.94 = 9,102.94/x
  3. Step 3: Cross multiply
    4,035.38x = 9,102.94 × 9,102.94
  4. Step 4: Simplify right side
    4,035.38x = 82,863,471.13
  5. Step 5: Solve for x
    x = 82,863,471.13/4,035.38
  6. Step 6: Final answer
    x = 20,534.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.