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Finding the Third Proportional to 38,085 and 88,971

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Solution

The third proportional to 38,085 and 88,971 is: 207,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,085 : 88,971 = 88,971 : x
  2. Step 2: Convert to fraction form
    38,085/88,971 = 88,971/x
  3. Step 3: Cross multiply
    38,085x = 88,971 × 88,971
  4. Step 4: Simplify right side
    38,085x = 7,915,838,841
  5. Step 5: Solve for x
    x = 7,915,838,841/38,085
  6. Step 6: Final answer
    x = 207,846.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.