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Finding the Third Proportional to 4,972.50 and 11,494.69

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Solution

The third proportional to 4,972.50 and 11,494.69 is: 26,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.50 : 11,494.69 = 11,494.69 : x
  2. Step 2: Convert to fraction form
    4,972.50/11,494.69 = 11,494.69/x
  3. Step 3: Cross multiply
    4,972.50x = 11,494.69 × 11,494.69
  4. Step 4: Simplify right side
    4,972.50x = 132,127,840.72
  5. Step 5: Solve for x
    x = 132,127,840.72/4,972.50
  6. Step 6: Final answer
    x = 26,571.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.