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Finding the Third Proportional to 22,581 and 33,093

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Solution

The third proportional to 22,581 and 33,093 is: 48,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581 : 33,093 = 33,093 : x
  2. Step 2: Convert to fraction form
    22,581/33,093 = 33,093/x
  3. Step 3: Cross multiply
    22,581x = 33,093 × 33,093
  4. Step 4: Simplify right side
    22,581x = 1,095,146,649
  5. Step 5: Solve for x
    x = 1,095,146,649/22,581
  6. Step 6: Final answer
    x = 48,498.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.