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Finding the Third Proportional to 33,041.50 and 47,101.88

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Solution

The third proportional to 33,041.50 and 47,101.88 is: 67,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041.50 : 47,101.88 = 47,101.88 : x
  2. Step 2: Convert to fraction form
    33,041.50/47,101.88 = 47,101.88/x
  3. Step 3: Cross multiply
    33,041.50x = 47,101.88 × 47,101.88
  4. Step 4: Simplify right side
    33,041.50x = 2,218,586,628.52
  5. Step 5: Solve for x
    x = 2,218,586,628.52/33,041.50
  6. Step 6: Final answer
    x = 67,145.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.