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Finding the Third Proportional to 17,758.31 and 27,571.13

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Solution

The third proportional to 17,758.31 and 27,571.13 is: 42,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.31 : 27,571.13 = 27,571.13 : x
  2. Step 2: Convert to fraction form
    17,758.31/27,571.13 = 27,571.13/x
  3. Step 3: Cross multiply
    17,758.31x = 27,571.13 × 27,571.13
  4. Step 4: Simplify right side
    17,758.31x = 760,166,933.77
  5. Step 5: Solve for x
    x = 760,166,933.77/17,758.31
  6. Step 6: Final answer
    x = 42,806.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.