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Finding the Third Proportional to 4,062 and 5,431.50

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Solution

The third proportional to 4,062 and 5,431.50 is: 7,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062 : 5,431.50 = 5,431.50 : x
  2. Step 2: Convert to fraction form
    4,062/5,431.50 = 5,431.50/x
  3. Step 3: Cross multiply
    4,062x = 5,431.50 × 5,431.50
  4. Step 4: Simplify right side
    4,062x = 29,501,192.25
  5. Step 5: Solve for x
    x = 29,501,192.25/4,062
  6. Step 6: Final answer
    x = 7,262.73

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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.