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Finding the Third Proportional to 5,952.75 and 9,269.25

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Solution

The third proportional to 5,952.75 and 9,269.25 is: 14,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.75 : 9,269.25 = 9,269.25 : x
  2. Step 2: Convert to fraction form
    5,952.75/9,269.25 = 9,269.25/x
  3. Step 3: Cross multiply
    5,952.75x = 9,269.25 × 9,269.25
  4. Step 4: Simplify right side
    5,952.75x = 85,918,995.56
  5. Step 5: Solve for x
    x = 85,918,995.56/5,952.75
  6. Step 6: Final answer
    x = 14,433.50

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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.