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Finding the Third Proportional to 17,969 and 38,209

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Solution

The third proportional to 17,969 and 38,209 is: 81,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 38,209 = 38,209 : x
  2. Step 2: Convert to fraction form
    17,969/38,209 = 38,209/x
  3. Step 3: Cross multiply
    17,969x = 38,209 × 38,209
  4. Step 4: Simplify right side
    17,969x = 1,459,927,681
  5. Step 5: Solve for x
    x = 1,459,927,681/17,969
  6. Step 6: Final answer
    x = 81,247.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.