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Finding the Third Proportional to 5,438.75 and 8,478.75

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Solution

The third proportional to 5,438.75 and 8,478.75 is: 13,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.75 : 8,478.75 = 8,478.75 : x
  2. Step 2: Convert to fraction form
    5,438.75/8,478.75 = 8,478.75/x
  3. Step 3: Cross multiply
    5,438.75x = 8,478.75 × 8,478.75
  4. Step 4: Simplify right side
    5,438.75x = 71,889,201.56
  5. Step 5: Solve for x
    x = 71,889,201.56/5,438.75
  6. Step 6: Final answer
    x = 13,217.96

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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.