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Finding the Third Proportional to 4,038.50 and 5,426.75

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Solution

The third proportional to 4,038.50 and 5,426.75 is: 7,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.50 : 5,426.75 = 5,426.75 : x
  2. Step 2: Convert to fraction form
    4,038.50/5,426.75 = 5,426.75/x
  3. Step 3: Cross multiply
    4,038.50x = 5,426.75 × 5,426.75
  4. Step 4: Simplify right side
    4,038.50x = 29,449,615.56
  5. Step 5: Solve for x
    x = 29,449,615.56/4,038.50
  6. Step 6: Final answer
    x = 7,292.22

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