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Finding the Third Proportional to 31,224.75 and 47,615.25

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Solution

The third proportional to 31,224.75 and 47,615.25 is: 72,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.75 : 47,615.25 = 47,615.25 : x
  2. Step 2: Convert to fraction form
    31,224.75/47,615.25 = 47,615.25/x
  3. Step 3: Cross multiply
    31,224.75x = 47,615.25 × 47,615.25
  4. Step 4: Simplify right side
    31,224.75x = 2,267,212,032.56
  5. Step 5: Solve for x
    x = 2,267,212,032.56/31,224.75
  6. Step 6: Final answer
    x = 72,609.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.