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Finding the Third Proportional to 27,635.50 and 59,674

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Solution

The third proportional to 27,635.50 and 59,674 is: 128,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.50 : 59,674 = 59,674 : x
  2. Step 2: Convert to fraction form
    27,635.50/59,674 = 59,674/x
  3. Step 3: Cross multiply
    27,635.50x = 59,674 × 59,674
  4. Step 4: Simplify right side
    27,635.50x = 3,560,986,276
  5. Step 5: Solve for x
    x = 3,560,986,276/27,635.50
  6. Step 6: Final answer
    x = 128,855.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.