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Finding the Third Proportional to 17,834.87 and 27,422.93

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Solution

The third proportional to 17,834.87 and 27,422.93 is: 42,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.87 : 27,422.93 = 27,422.93 : x
  2. Step 2: Convert to fraction form
    17,834.87/27,422.93 = 27,422.93/x
  3. Step 3: Cross multiply
    17,834.87x = 27,422.93 × 27,422.93
  4. Step 4: Simplify right side
    17,834.87x = 752,017,072.65
  5. Step 5: Solve for x
    x = 752,017,072.65/17,834.87
  6. Step 6: Final answer
    x = 42,165.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.