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Finding the Third Proportional to 5,259.50 and 11,338.75

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Solution

The third proportional to 5,259.50 and 11,338.75 is: 24,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.50 : 11,338.75 = 11,338.75 : x
  2. Step 2: Convert to fraction form
    5,259.50/11,338.75 = 11,338.75/x
  3. Step 3: Cross multiply
    5,259.50x = 11,338.75 × 11,338.75
  4. Step 4: Simplify right side
    5,259.50x = 128,567,251.56
  5. Step 5: Solve for x
    x = 128,567,251.56/5,259.50
  6. Step 6: Final answer
    x = 24,444.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.