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Finding the Third Proportional to 43,112 and 66,588

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Solution

The third proportional to 43,112 and 66,588 is: 102,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,112 : 66,588 = 66,588 : x
  2. Step 2: Convert to fraction form
    43,112/66,588 = 66,588/x
  3. Step 3: Cross multiply
    43,112x = 66,588 × 66,588
  4. Step 4: Simplify right side
    43,112x = 4,433,961,744
  5. Step 5: Solve for x
    x = 4,433,961,744/43,112
  6. Step 6: Final answer
    x = 102,847.51

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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.