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Finding the Third Proportional to 26,584.13 and 57,997.50

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Solution

The third proportional to 26,584.13 and 57,997.50 is: 126,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584.13 : 57,997.50 = 57,997.50 : x
  2. Step 2: Convert to fraction form
    26,584.13/57,997.50 = 57,997.50/x
  3. Step 3: Cross multiply
    26,584.13x = 57,997.50 × 57,997.50
  4. Step 4: Simplify right side
    26,584.13x = 3,363,710,006.25
  5. Step 5: Solve for x
    x = 3,363,710,006.25/26,584.13
  6. Step 6: Final answer
    x = 126,530.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.