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Finding the Third Proportional to 3,809.44 and 5,056.13

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Solution

The third proportional to 3,809.44 and 5,056.13 is: 6,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.44 : 5,056.13 = 5,056.13 : x
  2. Step 2: Convert to fraction form
    3,809.44/5,056.13 = 5,056.13/x
  3. Step 3: Cross multiply
    3,809.44x = 5,056.13 × 5,056.13
  4. Step 4: Simplify right side
    3,809.44x = 25,564,400.02
  5. Step 5: Solve for x
    x = 25,564,400.02/3,809.44
  6. Step 6: Final answer
    x = 6,710.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.