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Finding the Third Proportional to 17,889 and 38,765

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Solution

The third proportional to 17,889 and 38,765 is: 84,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889 : 38,765 = 38,765 : x
  2. Step 2: Convert to fraction form
    17,889/38,765 = 38,765/x
  3. Step 3: Cross multiply
    17,889x = 38,765 × 38,765
  4. Step 4: Simplify right side
    17,889x = 1,502,725,225
  5. Step 5: Solve for x
    x = 1,502,725,225/17,889
  6. Step 6: Final answer
    x = 84,002.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.