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Finding the Third Proportional to 16,350.75 and 35,315

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Solution

The third proportional to 16,350.75 and 35,315 is: 76,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.75 : 35,315 = 35,315 : x
  2. Step 2: Convert to fraction form
    16,350.75/35,315 = 35,315/x
  3. Step 3: Cross multiply
    16,350.75x = 35,315 × 35,315
  4. Step 4: Simplify right side
    16,350.75x = 1,247,149,225
  5. Step 5: Solve for x
    x = 1,247,149,225/16,350.75
  6. Step 6: Final answer
    x = 76,274.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.