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Finding the Third Proportional to 26,022.94 and 28,756.69

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Solution

The third proportional to 26,022.94 and 28,756.69 is: 31,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022.94 : 28,756.69 = 28,756.69 : x
  2. Step 2: Convert to fraction form
    26,022.94/28,756.69 = 28,756.69/x
  3. Step 3: Cross multiply
    26,022.94x = 28,756.69 × 28,756.69
  4. Step 4: Simplify right side
    26,022.94x = 826,947,075.97
  5. Step 5: Solve for x
    x = 826,947,075.97/26,022.94
  6. Step 6: Final answer
    x = 31,777.62

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.