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Finding the Third Proportional to 33,970.50 and 56,144.81

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Solution

The third proportional to 33,970.50 and 56,144.81 is: 92,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.50 : 56,144.81 = 56,144.81 : x
  2. Step 2: Convert to fraction form
    33,970.50/56,144.81 = 56,144.81/x
  3. Step 3: Cross multiply
    33,970.50x = 56,144.81 × 56,144.81
  4. Step 4: Simplify right side
    33,970.50x = 3,152,239,970.66
  5. Step 5: Solve for x
    x = 3,152,239,970.66/33,970.50
  6. Step 6: Final answer
    x = 92,793.45

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.