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Finding the Third Proportional to 12,210.75 and 31,255.88

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Solution

The third proportional to 12,210.75 and 31,255.88 is: 80,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.75 : 31,255.88 = 31,255.88 : x
  2. Step 2: Convert to fraction form
    12,210.75/31,255.88 = 31,255.88/x
  3. Step 3: Cross multiply
    12,210.75x = 31,255.88 × 31,255.88
  4. Step 4: Simplify right side
    12,210.75x = 976,929,722.02
  5. Step 5: Solve for x
    x = 976,929,722.02/12,210.75
  6. Step 6: Final answer
    x = 80,005.71

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.