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Finding the Third Proportional to 43,935 and 66,309

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Solution

The third proportional to 43,935 and 66,309 is: 100,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,935 : 66,309 = 66,309 : x
  2. Step 2: Convert to fraction form
    43,935/66,309 = 66,309/x
  3. Step 3: Cross multiply
    43,935x = 66,309 × 66,309
  4. Step 4: Simplify right side
    43,935x = 4,396,883,481
  5. Step 5: Solve for x
    x = 4,396,883,481/43,935
  6. Step 6: Final answer
    x = 100,077.01

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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.