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Finding the Third Proportional to 15,529.22 and 23,231.81

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Solution

The third proportional to 15,529.22 and 23,231.81 is: 34,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,529.22 : 23,231.81 = 23,231.81 : x
  2. Step 2: Convert to fraction form
    15,529.22/23,231.81 = 23,231.81/x
  3. Step 3: Cross multiply
    15,529.22x = 23,231.81 × 23,231.81
  4. Step 4: Simplify right side
    15,529.22x = 539,717,112.04
  5. Step 5: Solve for x
    x = 539,717,112.04/15,529.22
  6. Step 6: Final answer
    x = 34,754.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.