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Finding the Third Proportional to 38,971 and 84,169

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Solution

The third proportional to 38,971 and 84,169 is: 181,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971 : 84,169 = 84,169 : x
  2. Step 2: Convert to fraction form
    38,971/84,169 = 84,169/x
  3. Step 3: Cross multiply
    38,971x = 84,169 × 84,169
  4. Step 4: Simplify right side
    38,971x = 7,084,420,561
  5. Step 5: Solve for x
    x = 7,084,420,561/38,971
  6. Step 6: Final answer
    x = 181,786.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.