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Finding the Third Proportional to 24,864.75 and 35,158.50

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Solution

The third proportional to 24,864.75 and 35,158.50 is: 49,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864.75 : 35,158.50 = 35,158.50 : x
  2. Step 2: Convert to fraction form
    24,864.75/35,158.50 = 35,158.50/x
  3. Step 3: Cross multiply
    24,864.75x = 35,158.50 × 35,158.50
  4. Step 4: Simplify right side
    24,864.75x = 1,236,120,122.25
  5. Step 5: Solve for x
    x = 1,236,120,122.25/24,864.75
  6. Step 6: Final answer
    x = 49,713.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.