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Finding the Third Proportional to 6,974 and 15,247

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Solution

The third proportional to 6,974 and 15,247 is: 33,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974 : 15,247 = 15,247 : x
  2. Step 2: Convert to fraction form
    6,974/15,247 = 15,247/x
  3. Step 3: Cross multiply
    6,974x = 15,247 × 15,247
  4. Step 4: Simplify right side
    6,974x = 232,471,009
  5. Step 5: Solve for x
    x = 232,471,009/6,974
  6. Step 6: Final answer
    x = 33,333.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.