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Finding the Third Proportional to 5,086.71 and 11,158.28

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Solution

The third proportional to 5,086.71 and 11,158.28 is: 24,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.71 : 11,158.28 = 11,158.28 : x
  2. Step 2: Convert to fraction form
    5,086.71/11,158.28 = 11,158.28/x
  3. Step 3: Cross multiply
    5,086.71x = 11,158.28 × 11,158.28
  4. Step 4: Simplify right side
    5,086.71x = 124,507,153.28
  5. Step 5: Solve for x
    x = 124,507,153.28/5,086.71
  6. Step 6: Final answer
    x = 24,476.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.