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Finding the Third Proportional to 11,052.28 and 16,901.16

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Solution

The third proportional to 11,052.28 and 16,901.16 is: 25,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.28 : 16,901.16 = 16,901.16 : x
  2. Step 2: Convert to fraction form
    11,052.28/16,901.16 = 16,901.16/x
  3. Step 3: Cross multiply
    11,052.28x = 16,901.16 × 16,901.16
  4. Step 4: Simplify right side
    11,052.28x = 285,649,082.59
  5. Step 5: Solve for x
    x = 285,649,082.59/11,052.28
  6. Step 6: Final answer
    x = 25,845.26

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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.