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Finding the Third Proportional to 3,476.81 and 5,344.31

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Solution

The third proportional to 3,476.81 and 5,344.31 is: 8,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.81 : 5,344.31 = 5,344.31 : x
  2. Step 2: Convert to fraction form
    3,476.81/5,344.31 = 5,344.31/x
  3. Step 3: Cross multiply
    3,476.81x = 5,344.31 × 5,344.31
  4. Step 4: Simplify right side
    3,476.81x = 28,561,676.10
  5. Step 5: Solve for x
    x = 28,561,676.10/3,476.81
  6. Step 6: Final answer
    x = 8,214.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.