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Finding the Third Proportional to 3,438.88 and 5,363.75

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Solution

The third proportional to 3,438.88 and 5,363.75 is: 8,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.88 : 5,363.75 = 5,363.75 : x
  2. Step 2: Convert to fraction form
    3,438.88/5,363.75 = 5,363.75/x
  3. Step 3: Cross multiply
    3,438.88x = 5,363.75 × 5,363.75
  4. Step 4: Simplify right side
    3,438.88x = 28,769,814.06
  5. Step 5: Solve for x
    x = 28,769,814.06/3,438.88
  6. Step 6: Final answer
    x = 8,366.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.