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Finding the Third Proportional to 4,047.75 and 5,438.25

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Solution

The third proportional to 4,047.75 and 5,438.25 is: 7,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.75 : 5,438.25 = 5,438.25 : x
  2. Step 2: Convert to fraction form
    4,047.75/5,438.25 = 5,438.25/x
  3. Step 3: Cross multiply
    4,047.75x = 5,438.25 × 5,438.25
  4. Step 4: Simplify right side
    4,047.75x = 29,574,563.06
  5. Step 5: Solve for x
    x = 29,574,563.06/4,047.75
  6. Step 6: Final answer
    x = 7,306.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.