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Finding the Third Proportional to 24,635.25 and 52,961.06

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Solution

The third proportional to 24,635.25 and 52,961.06 is: 113,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,635.25 : 52,961.06 = 52,961.06 : x
  2. Step 2: Convert to fraction form
    24,635.25/52,961.06 = 52,961.06/x
  3. Step 3: Cross multiply
    24,635.25x = 52,961.06 × 52,961.06
  4. Step 4: Simplify right side
    24,635.25x = 2,804,874,141.13
  5. Step 5: Solve for x
    x = 2,804,874,141.13/24,635.25
  6. Step 6: Final answer
    x = 113,856.13

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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.