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Finding the Third Proportional to 43,659 and 65,853

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Solution

The third proportional to 43,659 and 65,853 is: 99,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,659 : 65,853 = 65,853 : x
  2. Step 2: Convert to fraction form
    43,659/65,853 = 65,853/x
  3. Step 3: Cross multiply
    43,659x = 65,853 × 65,853
  4. Step 4: Simplify right side
    43,659x = 4,336,617,609
  5. Step 5: Solve for x
    x = 4,336,617,609/43,659
  6. Step 6: Final answer
    x = 99,329.29

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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.