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Finding the Third Proportional to 12,410 and 17,247

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Solution

The third proportional to 12,410 and 17,247 is: 23,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410 : 17,247 = 17,247 : x
  2. Step 2: Convert to fraction form
    12,410/17,247 = 17,247/x
  3. Step 3: Cross multiply
    12,410x = 17,247 × 17,247
  4. Step 4: Simplify right side
    12,410x = 297,459,009
  5. Step 5: Solve for x
    x = 297,459,009/12,410
  6. Step 6: Final answer
    x = 23,969.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.