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Finding the Third Proportional to 35,981 and 84,038

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Solution

The third proportional to 35,981 and 84,038 is: 196,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981 : 84,038 = 84,038 : x
  2. Step 2: Convert to fraction form
    35,981/84,038 = 84,038/x
  3. Step 3: Cross multiply
    35,981x = 84,038 × 84,038
  4. Step 4: Simplify right side
    35,981x = 7,062,385,444
  5. Step 5: Solve for x
    x = 7,062,385,444/35,981
  6. Step 6: Final answer
    x = 196,280.97

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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.