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Finding the Third Proportional to 5,824.50 and 9,263.25

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Solution

The third proportional to 5,824.50 and 9,263.25 is: 14,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.50 : 9,263.25 = 9,263.25 : x
  2. Step 2: Convert to fraction form
    5,824.50/9,263.25 = 9,263.25/x
  3. Step 3: Cross multiply
    5,824.50x = 9,263.25 × 9,263.25
  4. Step 4: Simplify right side
    5,824.50x = 85,807,800.56
  5. Step 5: Solve for x
    x = 85,807,800.56/5,824.50
  6. Step 6: Final answer
    x = 14,732.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.