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Finding the Third Proportional to 27,474.19 and 66,344.06

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Solution

The third proportional to 27,474.19 and 66,344.06 is: 160,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.19 : 66,344.06 = 66,344.06 : x
  2. Step 2: Convert to fraction form
    27,474.19/66,344.06 = 66,344.06/x
  3. Step 3: Cross multiply
    27,474.19x = 66,344.06 × 66,344.06
  4. Step 4: Simplify right side
    27,474.19x = 4,401,534,629.00
  5. Step 5: Solve for x
    x = 4,401,534,629.00/27,474.19
  6. Step 6: Final answer
    x = 160,206.18

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.