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Finding the Third Proportional to 26,106 and 39,772

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Solution

The third proportional to 26,106 and 39,772 is: 60,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106 : 39,772 = 39,772 : x
  2. Step 2: Convert to fraction form
    26,106/39,772 = 39,772/x
  3. Step 3: Cross multiply
    26,106x = 39,772 × 39,772
  4. Step 4: Simplify right side
    26,106x = 1,581,811,984
  5. Step 5: Solve for x
    x = 1,581,811,984/26,106
  6. Step 6: Final answer
    x = 60,591.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.