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Finding the Third Proportional to 39,644 and 88,036

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Solution

The third proportional to 39,644 and 88,036 is: 195,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,644 : 88,036 = 88,036 : x
  2. Step 2: Convert to fraction form
    39,644/88,036 = 88,036/x
  3. Step 3: Cross multiply
    39,644x = 88,036 × 88,036
  4. Step 4: Simplify right side
    39,644x = 7,750,337,296
  5. Step 5: Solve for x
    x = 7,750,337,296/39,644
  6. Step 6: Final answer
    x = 195,498.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.