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Finding the Third Proportional to 47,933.25 and 72,568.50

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Solution

The third proportional to 47,933.25 and 72,568.50 is: 109,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,933.25 : 72,568.50 = 72,568.50 : x
  2. Step 2: Convert to fraction form
    47,933.25/72,568.50 = 72,568.50/x
  3. Step 3: Cross multiply
    47,933.25x = 72,568.50 × 72,568.50
  4. Step 4: Simplify right side
    47,933.25x = 5,266,187,192.25
  5. Step 5: Solve for x
    x = 5,266,187,192.25/47,933.25
  6. Step 6: Final answer
    x = 109,865.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.