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Finding the Third Proportional to 5,086.97 and 7,600.08

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Solution

The third proportional to 5,086.97 and 7,600.08 is: 11,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.97 : 7,600.08 = 7,600.08 : x
  2. Step 2: Convert to fraction form
    5,086.97/7,600.08 = 7,600.08/x
  3. Step 3: Cross multiply
    5,086.97x = 7,600.08 × 7,600.08
  4. Step 4: Simplify right side
    5,086.97x = 57,761,187.51
  5. Step 5: Solve for x
    x = 57,761,187.51/5,086.97
  6. Step 6: Final answer
    x = 11,354.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.