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Finding the Third Proportional to 32,024 and 74,446

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Solution

The third proportional to 32,024 and 74,446 is: 173,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024 : 74,446 = 74,446 : x
  2. Step 2: Convert to fraction form
    32,024/74,446 = 74,446/x
  3. Step 3: Cross multiply
    32,024x = 74,446 × 74,446
  4. Step 4: Simplify right side
    32,024x = 5,542,206,916
  5. Step 5: Solve for x
    x = 5,542,206,916/32,024
  6. Step 6: Final answer
    x = 173,064.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.