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Finding the Third Proportional to 5,146.38 and 11,086.63

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Solution

The third proportional to 5,146.38 and 11,086.63 is: 23,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.38 : 11,086.63 = 11,086.63 : x
  2. Step 2: Convert to fraction form
    5,146.38/11,086.63 = 11,086.63/x
  3. Step 3: Cross multiply
    5,146.38x = 11,086.63 × 11,086.63
  4. Step 4: Simplify right side
    5,146.38x = 122,913,253.89
  5. Step 5: Solve for x
    x = 122,913,253.89/5,146.38
  6. Step 6: Final answer
    x = 23,883.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.