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Finding the Third Proportional to 16,592 and 36,292

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Solution

The third proportional to 16,592 and 36,292 is: 79,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592 : 36,292 = 36,292 : x
  2. Step 2: Convert to fraction form
    16,592/36,292 = 36,292/x
  3. Step 3: Cross multiply
    16,592x = 36,292 × 36,292
  4. Step 4: Simplify right side
    16,592x = 1,317,109,264
  5. Step 5: Solve for x
    x = 1,317,109,264/16,592
  6. Step 6: Final answer
    x = 79,382.19

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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.