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Finding the Third Proportional to 38,983 and 85,637

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Solution

The third proportional to 38,983 and 85,637 is: 188,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983 : 85,637 = 85,637 : x
  2. Step 2: Convert to fraction form
    38,983/85,637 = 85,637/x
  3. Step 3: Cross multiply
    38,983x = 85,637 × 85,637
  4. Step 4: Simplify right side
    38,983x = 7,333,695,769
  5. Step 5: Solve for x
    x = 7,333,695,769/38,983
  6. Step 6: Final answer
    x = 188,125.48

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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.