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Finding the Third Proportional to 26,106.75 and 34,906.50

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Solution

The third proportional to 26,106.75 and 34,906.50 is: 46,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106.75 : 34,906.50 = 34,906.50 : x
  2. Step 2: Convert to fraction form
    26,106.75/34,906.50 = 34,906.50/x
  3. Step 3: Cross multiply
    26,106.75x = 34,906.50 × 34,906.50
  4. Step 4: Simplify right side
    26,106.75x = 1,218,463,742.25
  5. Step 5: Solve for x
    x = 1,218,463,742.25/26,106.75
  6. Step 6: Final answer
    x = 46,672.36

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.