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Finding the Third Proportional to 16,970 and 36,127

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Solution

The third proportional to 16,970 and 36,127 is: 76,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970 : 36,127 = 36,127 : x
  2. Step 2: Convert to fraction form
    16,970/36,127 = 36,127/x
  3. Step 3: Cross multiply
    16,970x = 36,127 × 36,127
  4. Step 4: Simplify right side
    16,970x = 1,305,160,129
  5. Step 5: Solve for x
    x = 1,305,160,129/16,970
  6. Step 6: Final answer
    x = 76,909.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.