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Finding the Third Proportional to 26,779.50 and 42,012

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Solution

The third proportional to 26,779.50 and 42,012 is: 65,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,779.50 : 42,012 = 42,012 : x
  2. Step 2: Convert to fraction form
    26,779.50/42,012 = 42,012/x
  3. Step 3: Cross multiply
    26,779.50x = 42,012 × 42,012
  4. Step 4: Simplify right side
    26,779.50x = 1,765,008,144
  5. Step 5: Solve for x
    x = 1,765,008,144/26,779.50
  6. Step 6: Final answer
    x = 65,908.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.