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Finding the Third Proportional to 17,494.31 and 27,271.69

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Solution

The third proportional to 17,494.31 and 27,271.69 is: 42,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.31 : 27,271.69 = 27,271.69 : x
  2. Step 2: Convert to fraction form
    17,494.31/27,271.69 = 27,271.69/x
  3. Step 3: Cross multiply
    17,494.31x = 27,271.69 × 27,271.69
  4. Step 4: Simplify right side
    17,494.31x = 743,744,939.10
  5. Step 5: Solve for x
    x = 743,744,939.10/17,494.31
  6. Step 6: Final answer
    x = 42,513.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.