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Finding the Third Proportional to 14,100 and 32,785

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Solution

The third proportional to 14,100 and 32,785 is: 76,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 32,785 = 32,785 : x
  2. Step 2: Convert to fraction form
    14,100/32,785 = 32,785/x
  3. Step 3: Cross multiply
    14,100x = 32,785 × 32,785
  4. Step 4: Simplify right side
    14,100x = 1,074,856,225
  5. Step 5: Solve for x
    x = 1,074,856,225/14,100
  6. Step 6: Final answer
    x = 76,230.94

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.