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Finding the Third Proportional to 11,298 and 26,041

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Solution

The third proportional to 11,298 and 26,041 is: 60,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298 : 26,041 = 26,041 : x
  2. Step 2: Convert to fraction form
    11,298/26,041 = 26,041/x
  3. Step 3: Cross multiply
    11,298x = 26,041 × 26,041
  4. Step 4: Simplify right side
    11,298x = 678,133,681
  5. Step 5: Solve for x
    x = 678,133,681/11,298
  6. Step 6: Final answer
    x = 60,022.45

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.