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Finding the Third Proportional to 14,571.56 and 31,469.34

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Solution

The third proportional to 14,571.56 and 31,469.34 is: 67,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.56 : 31,469.34 = 31,469.34 : x
  2. Step 2: Convert to fraction form
    14,571.56/31,469.34 = 31,469.34/x
  3. Step 3: Cross multiply
    14,571.56x = 31,469.34 × 31,469.34
  4. Step 4: Simplify right side
    14,571.56x = 990,319,596.06
  5. Step 5: Solve for x
    x = 990,319,596.06/14,571.56
  6. Step 6: Final answer
    x = 67,962.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.