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Finding the Third Proportional to 40,747.50 and 64,836

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Solution

The third proportional to 40,747.50 and 64,836 is: 103,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,747.50 : 64,836 = 64,836 : x
  2. Step 2: Convert to fraction form
    40,747.50/64,836 = 64,836/x
  3. Step 3: Cross multiply
    40,747.50x = 64,836 × 64,836
  4. Step 4: Simplify right side
    40,747.50x = 4,203,706,896
  5. Step 5: Solve for x
    x = 4,203,706,896/40,747.50
  6. Step 6: Final answer
    x = 103,164.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.