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Finding the Third Proportional to 27,392 and 43,548

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Solution

The third proportional to 27,392 and 43,548 is: 69,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392 : 43,548 = 43,548 : x
  2. Step 2: Convert to fraction form
    27,392/43,548 = 43,548/x
  3. Step 3: Cross multiply
    27,392x = 43,548 × 43,548
  4. Step 4: Simplify right side
    27,392x = 1,896,428,304
  5. Step 5: Solve for x
    x = 1,896,428,304/27,392
  6. Step 6: Final answer
    x = 69,232.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.