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Finding the Third Proportional to 27,790.50 and 59,958

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Solution

The third proportional to 27,790.50 and 59,958 is: 129,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.50 : 59,958 = 59,958 : x
  2. Step 2: Convert to fraction form
    27,790.50/59,958 = 59,958/x
  3. Step 3: Cross multiply
    27,790.50x = 59,958 × 59,958
  4. Step 4: Simplify right side
    27,790.50x = 3,594,961,764
  5. Step 5: Solve for x
    x = 3,594,961,764/27,790.50
  6. Step 6: Final answer
    x = 129,359.38

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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.