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Finding the Third Proportional to 22,416.75 and 35,162.86

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Solution

The third proportional to 22,416.75 and 35,162.86 is: 55,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.75 : 35,162.86 = 35,162.86 : x
  2. Step 2: Convert to fraction form
    22,416.75/35,162.86 = 35,162.86/x
  3. Step 3: Cross multiply
    22,416.75x = 35,162.86 × 35,162.86
  4. Step 4: Simplify right side
    22,416.75x = 1,236,426,679.43
  5. Step 5: Solve for x
    x = 1,236,426,679.43/22,416.75
  6. Step 6: Final answer
    x = 55,156.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.