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Finding the Third Proportional to 5,166.28 and 11,150.16

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Solution

The third proportional to 5,166.28 and 11,150.16 is: 24,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.28 : 11,150.16 = 11,150.16 : x
  2. Step 2: Convert to fraction form
    5,166.28/11,150.16 = 11,150.16/x
  3. Step 3: Cross multiply
    5,166.28x = 11,150.16 × 11,150.16
  4. Step 4: Simplify right side
    5,166.28x = 124,325,984.40
  5. Step 5: Solve for x
    x = 124,325,984.40/5,166.28
  6. Step 6: Final answer
    x = 24,064.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.