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Finding the Third Proportional to 27,431.63 and 59,025.75

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Solution

The third proportional to 27,431.63 and 59,025.75 is: 127,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.63 : 59,025.75 = 59,025.75 : x
  2. Step 2: Convert to fraction form
    27,431.63/59,025.75 = 59,025.75/x
  3. Step 3: Cross multiply
    27,431.63x = 59,025.75 × 59,025.75
  4. Step 4: Simplify right side
    27,431.63x = 3,484,039,163.06
  5. Step 5: Solve for x
    x = 3,484,039,163.06/27,431.63
  6. Step 6: Final answer
    x = 127,008.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.