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Finding the Third Proportional to 35,864 and 39,320

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Solution

The third proportional to 35,864 and 39,320 is: 43,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,864 : 39,320 = 39,320 : x
  2. Step 2: Convert to fraction form
    35,864/39,320 = 39,320/x
  3. Step 3: Cross multiply
    35,864x = 39,320 × 39,320
  4. Step 4: Simplify right side
    35,864x = 1,546,062,400
  5. Step 5: Solve for x
    x = 1,546,062,400/35,864
  6. Step 6: Final answer
    x = 43,109.03

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.