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Finding the Third Proportional to 26,563.50 and 57,800.50

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Solution

The third proportional to 26,563.50 and 57,800.50 is: 125,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563.50 : 57,800.50 = 57,800.50 : x
  2. Step 2: Convert to fraction form
    26,563.50/57,800.50 = 57,800.50/x
  3. Step 3: Cross multiply
    26,563.50x = 57,800.50 × 57,800.50
  4. Step 4: Simplify right side
    26,563.50x = 3,340,897,800.25
  5. Step 5: Solve for x
    x = 3,340,897,800.25/26,563.50
  6. Step 6: Final answer
    x = 125,770.24

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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.