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Finding the Third Proportional to 26,974.50 and 42,314.63

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Solution

The third proportional to 26,974.50 and 42,314.63 is: 66,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974.50 : 42,314.63 = 42,314.63 : x
  2. Step 2: Convert to fraction form
    26,974.50/42,314.63 = 42,314.63/x
  3. Step 3: Cross multiply
    26,974.50x = 42,314.63 × 42,314.63
  4. Step 4: Simplify right side
    26,974.50x = 1,790,527,488.89
  5. Step 5: Solve for x
    x = 1,790,527,488.89/26,974.50
  6. Step 6: Final answer
    x = 66,378.52

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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.