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Finding the Third Proportional to 16,582 and 36,269

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Solution

The third proportional to 16,582 and 36,269 is: 79,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582 : 36,269 = 36,269 : x
  2. Step 2: Convert to fraction form
    16,582/36,269 = 36,269/x
  3. Step 3: Cross multiply
    16,582x = 36,269 × 36,269
  4. Step 4: Simplify right side
    16,582x = 1,315,440,361
  5. Step 5: Solve for x
    x = 1,315,440,361/16,582
  6. Step 6: Final answer
    x = 79,329.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.