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Finding the Third Proportional to 6,974 and 14,518

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Solution

The third proportional to 6,974 and 14,518 is: 30,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 14,518 = 14,518 : x
  2. Step 2: Convert to fraction form
    6,974/14,518 = 14,518/x
  3. Step 3: Cross multiply
    6,974x = 14,518 × 14,518
  4. Step 4: Simplify right side
    6,974x = 210,772,324
  5. Step 5: Solve for x
    x = 210,772,324/6,974
  6. Step 6: Final answer
    x = 30,222.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.