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Finding the Third Proportional to 43,710 and 66,837

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Solution

The third proportional to 43,710 and 66,837 is: 102,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,710 : 66,837 = 66,837 : x
  2. Step 2: Convert to fraction form
    43,710/66,837 = 66,837/x
  3. Step 3: Cross multiply
    43,710x = 66,837 × 66,837
  4. Step 4: Simplify right side
    43,710x = 4,467,184,569
  5. Step 5: Solve for x
    x = 4,467,184,569/43,710
  6. Step 6: Final answer
    x = 102,200.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.