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Finding the Third Proportional to 15,905 and 33,997

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Solution

The third proportional to 15,905 and 33,997 is: 72,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905 : 33,997 = 33,997 : x
  2. Step 2: Convert to fraction form
    15,905/33,997 = 33,997/x
  3. Step 3: Cross multiply
    15,905x = 33,997 × 33,997
  4. Step 4: Simplify right side
    15,905x = 1,155,796,009
  5. Step 5: Solve for x
    x = 1,155,796,009/15,905
  6. Step 6: Final answer
    x = 72,668.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.