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Finding the Third Proportional to 26,704 and 56,982.50

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Solution

The third proportional to 26,704 and 56,982.50 is: 121,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704 : 56,982.50 = 56,982.50 : x
  2. Step 2: Convert to fraction form
    26,704/56,982.50 = 56,982.50/x
  3. Step 3: Cross multiply
    26,704x = 56,982.50 × 56,982.50
  4. Step 4: Simplify right side
    26,704x = 3,247,005,306.25
  5. Step 5: Solve for x
    x = 3,247,005,306.25/26,704
  6. Step 6: Final answer
    x = 121,592.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.