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Finding the Third Proportional to 24,874.17 and 35,162.86

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Solution

The third proportional to 24,874.17 and 35,162.86 is: 49,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.17 : 35,162.86 = 35,162.86 : x
  2. Step 2: Convert to fraction form
    24,874.17/35,162.86 = 35,162.86/x
  3. Step 3: Cross multiply
    24,874.17x = 35,162.86 × 35,162.86
  4. Step 4: Simplify right side
    24,874.17x = 1,236,426,679.43
  5. Step 5: Solve for x
    x = 1,236,426,679.43/24,874.17
  6. Step 6: Final answer
    x = 49,707.25

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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.