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Finding the Third Proportional to 16,482 and 36,523

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Solution

The third proportional to 16,482 and 36,523 is: 80,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 36,523 = 36,523 : x
  2. Step 2: Convert to fraction form
    16,482/36,523 = 36,523/x
  3. Step 3: Cross multiply
    16,482x = 36,523 × 36,523
  4. Step 4: Simplify right side
    16,482x = 1,333,929,529
  5. Step 5: Solve for x
    x = 1,333,929,529/16,482
  6. Step 6: Final answer
    x = 80,932.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.