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Finding the Third Proportional to 7,675 and 14,983

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Solution

The third proportional to 7,675 and 14,983 is: 29,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675 : 14,983 = 14,983 : x
  2. Step 2: Convert to fraction form
    7,675/14,983 = 14,983/x
  3. Step 3: Cross multiply
    7,675x = 14,983 × 14,983
  4. Step 4: Simplify right side
    7,675x = 224,490,289
  5. Step 5: Solve for x
    x = 224,490,289/7,675
  6. Step 6: Final answer
    x = 29,249.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.