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Finding the Third Proportional to 13,474.48 and 31,472.30

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Solution

The third proportional to 13,474.48 and 31,472.30 is: 73,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.48 : 31,472.30 = 31,472.30 : x
  2. Step 2: Convert to fraction form
    13,474.48/31,472.30 = 31,472.30/x
  3. Step 3: Cross multiply
    13,474.48x = 31,472.30 × 31,472.30
  4. Step 4: Simplify right side
    13,474.48x = 990,505,470.59
  5. Step 5: Solve for x
    x = 990,505,470.59/13,474.48
  6. Step 6: Final answer
    x = 73,509.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.