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Finding the Third Proportional to 12,044 and 17,519

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Solution

The third proportional to 12,044 and 17,519 is: 25,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,044 : 17,519 = 17,519 : x
  2. Step 2: Convert to fraction form
    12,044/17,519 = 17,519/x
  3. Step 3: Cross multiply
    12,044x = 17,519 × 17,519
  4. Step 4: Simplify right side
    12,044x = 306,915,361
  5. Step 5: Solve for x
    x = 306,915,361/12,044
  6. Step 6: Final answer
    x = 25,482.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.