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Finding the Third Proportional to 22,622 and 32,588

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Solution

The third proportional to 22,622 and 32,588 is: 46,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622 : 32,588 = 32,588 : x
  2. Step 2: Convert to fraction form
    22,622/32,588 = 32,588/x
  3. Step 3: Cross multiply
    22,622x = 32,588 × 32,588
  4. Step 4: Simplify right side
    22,622x = 1,061,977,744
  5. Step 5: Solve for x
    x = 1,061,977,744/22,622
  6. Step 6: Final answer
    x = 46,944.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.