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Finding the Third Proportional to 43,250 and 66,795

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Solution

The third proportional to 43,250 and 66,795 is: 103,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,250 : 66,795 = 66,795 : x
  2. Step 2: Convert to fraction form
    43,250/66,795 = 66,795/x
  3. Step 3: Cross multiply
    43,250x = 66,795 × 66,795
  4. Step 4: Simplify right side
    43,250x = 4,461,572,025
  5. Step 5: Solve for x
    x = 4,461,572,025/43,250
  6. Step 6: Final answer
    x = 103,157.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.