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Finding the Third Proportional to 17,036 and 24,997

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Solution

The third proportional to 17,036 and 24,997 is: 36,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,036 : 24,997 = 24,997 : x
  2. Step 2: Convert to fraction form
    17,036/24,997 = 24,997/x
  3. Step 3: Cross multiply
    17,036x = 24,997 × 24,997
  4. Step 4: Simplify right side
    17,036x = 624,850,009
  5. Step 5: Solve for x
    x = 624,850,009/17,036
  6. Step 6: Final answer
    x = 36,678.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.