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Finding the Third Proportional to 32,398 and 69,720

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Solution

The third proportional to 32,398 and 69,720 is: 150,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398 : 69,720 = 69,720 : x
  2. Step 2: Convert to fraction form
    32,398/69,720 = 69,720/x
  3. Step 3: Cross multiply
    32,398x = 69,720 × 69,720
  4. Step 4: Simplify right side
    32,398x = 4,860,878,400
  5. Step 5: Solve for x
    x = 4,860,878,400/32,398
  6. Step 6: Final answer
    x = 150,036.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.