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Finding the Third Proportional to 43,566 and 65,841

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Solution

The third proportional to 43,566 and 65,841 is: 99,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,566 : 65,841 = 65,841 : x
  2. Step 2: Convert to fraction form
    43,566/65,841 = 65,841/x
  3. Step 3: Cross multiply
    43,566x = 65,841 × 65,841
  4. Step 4: Simplify right side
    43,566x = 4,335,037,281
  5. Step 5: Solve for x
    x = 4,335,037,281/43,566
  6. Step 6: Final answer
    x = 99,505.06

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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.