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Finding the Third Proportional to 31,404.94 and 74,122.88

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Solution

The third proportional to 31,404.94 and 74,122.88 is: 174,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404.94 : 74,122.88 = 74,122.88 : x
  2. Step 2: Convert to fraction form
    31,404.94/74,122.88 = 74,122.88/x
  3. Step 3: Cross multiply
    31,404.94x = 74,122.88 × 74,122.88
  4. Step 4: Simplify right side
    31,404.94x = 5,494,200,598.27
  5. Step 5: Solve for x
    x = 5,494,200,598.27/31,404.94
  6. Step 6: Final answer
    x = 174,947.03

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.