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Finding the Third Proportional to 22,183 and 32,621

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Solution

The third proportional to 22,183 and 32,621 is: 47,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183 : 32,621 = 32,621 : x
  2. Step 2: Convert to fraction form
    22,183/32,621 = 32,621/x
  3. Step 3: Cross multiply
    22,183x = 32,621 × 32,621
  4. Step 4: Simplify right side
    22,183x = 1,064,129,641
  5. Step 5: Solve for x
    x = 1,064,129,641/22,183
  6. Step 6: Final answer
    x = 47,970.50

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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.