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Finding the Third Proportional to 26,764.17 and 36,865.76

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Solution

The third proportional to 26,764.17 and 36,865.76 is: 50,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764.17 : 36,865.76 = 36,865.76 : x
  2. Step 2: Convert to fraction form
    26,764.17/36,865.76 = 36,865.76/x
  3. Step 3: Cross multiply
    26,764.17x = 36,865.76 × 36,865.76
  4. Step 4: Simplify right side
    26,764.17x = 1,359,084,099.09
  5. Step 5: Solve for x
    x = 1,359,084,099.09/26,764.17
  6. Step 6: Final answer
    x = 50,779.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.