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Finding the Third Proportional to 15,937 and 33,770

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Solution

The third proportional to 15,937 and 33,770 is: 71,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937 : 33,770 = 33,770 : x
  2. Step 2: Convert to fraction form
    15,937/33,770 = 33,770/x
  3. Step 3: Cross multiply
    15,937x = 33,770 × 33,770
  4. Step 4: Simplify right side
    15,937x = 1,140,412,900
  5. Step 5: Solve for x
    x = 1,140,412,900/15,937
  6. Step 6: Final answer
    x = 71,557.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.