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Finding the Third Proportional to 7,074 and 16,519

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Solution

The third proportional to 7,074 and 16,519 is: 38,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 16,519 = 16,519 : x
  2. Step 2: Convert to fraction form
    7,074/16,519 = 16,519/x
  3. Step 3: Cross multiply
    7,074x = 16,519 × 16,519
  4. Step 4: Simplify right side
    7,074x = 272,877,361
  5. Step 5: Solve for x
    x = 272,877,361/7,074
  6. Step 6: Final answer
    x = 38,574.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.