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Finding the Third Proportional to 38,973 and 85,890

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Solution

The third proportional to 38,973 and 85,890 is: 189,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,973 : 85,890 = 85,890 : x
  2. Step 2: Convert to fraction form
    38,973/85,890 = 85,890/x
  3. Step 3: Cross multiply
    38,973x = 85,890 × 85,890
  4. Step 4: Simplify right side
    38,973x = 7,377,092,100
  5. Step 5: Solve for x
    x = 7,377,092,100/38,973
  6. Step 6: Final answer
    x = 189,287.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.