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Finding the Third Proportional to 38,997 and 84,582

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Solution

The third proportional to 38,997 and 84,582 is: 183,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997 : 84,582 = 84,582 : x
  2. Step 2: Convert to fraction form
    38,997/84,582 = 84,582/x
  3. Step 3: Cross multiply
    38,997x = 84,582 × 84,582
  4. Step 4: Simplify right side
    38,997x = 7,154,114,724
  5. Step 5: Solve for x
    x = 7,154,114,724/38,997
  6. Step 6: Final answer
    x = 183,452.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.