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Finding the Third Proportional to 17,986 and 42,008

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Solution

The third proportional to 17,986 and 42,008 is: 98,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986 : 42,008 = 42,008 : x
  2. Step 2: Convert to fraction form
    17,986/42,008 = 42,008/x
  3. Step 3: Cross multiply
    17,986x = 42,008 × 42,008
  4. Step 4: Simplify right side
    17,986x = 1,764,672,064
  5. Step 5: Solve for x
    x = 1,764,672,064/17,986
  6. Step 6: Final answer
    x = 98,113.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.