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Finding the Third Proportional to 12,190 and 16,519

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Solution

The third proportional to 12,190 and 16,519 is: 22,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190 : 16,519 = 16,519 : x
  2. Step 2: Convert to fraction form
    12,190/16,519 = 16,519/x
  3. Step 3: Cross multiply
    12,190x = 16,519 × 16,519
  4. Step 4: Simplify right side
    12,190x = 272,877,361
  5. Step 5: Solve for x
    x = 272,877,361/12,190
  6. Step 6: Final answer
    x = 22,385.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.