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Finding the Third Proportional to 22,433 and 32,605

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Solution

The third proportional to 22,433 and 32,605 is: 47,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433 : 32,605 = 32,605 : x
  2. Step 2: Convert to fraction form
    22,433/32,605 = 32,605/x
  3. Step 3: Cross multiply
    22,433x = 32,605 × 32,605
  4. Step 4: Simplify right side
    22,433x = 1,063,086,025
  5. Step 5: Solve for x
    x = 1,063,086,025/22,433
  6. Step 6: Final answer
    x = 47,389.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.