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Finding the Third Proportional to 5,351.06 and 11,431.13

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Solution

The third proportional to 5,351.06 and 11,431.13 is: 24,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.06 : 11,431.13 = 11,431.13 : x
  2. Step 2: Convert to fraction form
    5,351.06/11,431.13 = 11,431.13/x
  3. Step 3: Cross multiply
    5,351.06x = 11,431.13 × 11,431.13
  4. Step 4: Simplify right side
    5,351.06x = 130,670,618.77
  5. Step 5: Solve for x
    x = 130,670,618.77/5,351.06
  6. Step 6: Final answer
    x = 24,419.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.