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Finding the Third Proportional to 43,397 and 65,824

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Solution

The third proportional to 43,397 and 65,824 is: 99,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,397 : 65,824 = 65,824 : x
  2. Step 2: Convert to fraction form
    43,397/65,824 = 65,824/x
  3. Step 3: Cross multiply
    43,397x = 65,824 × 65,824
  4. Step 4: Simplify right side
    43,397x = 4,332,798,976
  5. Step 5: Solve for x
    x = 4,332,798,976/43,397
  6. Step 6: Final answer
    x = 99,840.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.