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Finding the Third Proportional to 16,079.50 and 35,885

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Solution

The third proportional to 16,079.50 and 35,885 is: 80,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,079.50 : 35,885 = 35,885 : x
  2. Step 2: Convert to fraction form
    16,079.50/35,885 = 35,885/x
  3. Step 3: Cross multiply
    16,079.50x = 35,885 × 35,885
  4. Step 4: Simplify right side
    16,079.50x = 1,287,733,225
  5. Step 5: Solve for x
    x = 1,287,733,225/16,079.50
  6. Step 6: Final answer
    x = 80,085.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.