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Finding the Third Proportional to 43,398 and 65,466

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Solution

The third proportional to 43,398 and 65,466 is: 98,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,398 : 65,466 = 65,466 : x
  2. Step 2: Convert to fraction form
    43,398/65,466 = 65,466/x
  3. Step 3: Cross multiply
    43,398x = 65,466 × 65,466
  4. Step 4: Simplify right side
    43,398x = 4,285,797,156
  5. Step 5: Solve for x
    x = 4,285,797,156/43,398
  6. Step 6: Final answer
    x = 98,755.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.