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Finding the Third Proportional to 43,535 and 66,045

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Solution

The third proportional to 43,535 and 66,045 is: 100,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,535 : 66,045 = 66,045 : x
  2. Step 2: Convert to fraction form
    43,535/66,045 = 66,045/x
  3. Step 3: Cross multiply
    43,535x = 66,045 × 66,045
  4. Step 4: Simplify right side
    43,535x = 4,361,942,025
  5. Step 5: Solve for x
    x = 4,361,942,025/43,535
  6. Step 6: Final answer
    x = 100,193.91

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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.