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Finding the Third Proportional to 11,298 and 17,247

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Solution

The third proportional to 11,298 and 17,247 is: 26,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298 : 17,247 = 17,247 : x
  2. Step 2: Convert to fraction form
    11,298/17,247 = 17,247/x
  3. Step 3: Cross multiply
    11,298x = 17,247 × 17,247
  4. Step 4: Simplify right side
    11,298x = 297,459,009
  5. Step 5: Solve for x
    x = 297,459,009/11,298
  6. Step 6: Final answer
    x = 26,328.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.