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Finding the Third Proportional to 4,096.13 and 5,747.63

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Solution

The third proportional to 4,096.13 and 5,747.63 is: 8,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.13 : 5,747.63 = 5,747.63 : x
  2. Step 2: Convert to fraction form
    4,096.13/5,747.63 = 5,747.63/x
  3. Step 3: Cross multiply
    4,096.13x = 5,747.63 × 5,747.63
  4. Step 4: Simplify right side
    4,096.13x = 33,035,193.14
  5. Step 5: Solve for x
    x = 33,035,193.14/4,096.13
  6. Step 6: Final answer
    x = 8,064.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.