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Finding the Third Proportional to 16,944 and 37,169

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Solution

The third proportional to 16,944 and 37,169 is: 81,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 37,169 = 37,169 : x
  2. Step 2: Convert to fraction form
    16,944/37,169 = 37,169/x
  3. Step 3: Cross multiply
    16,944x = 37,169 × 37,169
  4. Step 4: Simplify right side
    16,944x = 1,381,534,561
  5. Step 5: Solve for x
    x = 1,381,534,561/16,944
  6. Step 6: Final answer
    x = 81,535.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.