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Finding the Third Proportional to 5,175.75 and 11,171.06

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Solution

The third proportional to 5,175.75 and 11,171.06 is: 24,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.75 : 11,171.06 = 11,171.06 : x
  2. Step 2: Convert to fraction form
    5,175.75/11,171.06 = 11,171.06/x
  3. Step 3: Cross multiply
    5,175.75x = 11,171.06 × 11,171.06
  4. Step 4: Simplify right side
    5,175.75x = 124,792,637.38
  5. Step 5: Solve for x
    x = 124,792,637.38/5,175.75
  6. Step 6: Final answer
    x = 24,111.02

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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.