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Finding the Third Proportional to 31,886.06 and 69,512.81

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Solution

The third proportional to 31,886.06 and 69,512.81 is: 151,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.06 : 69,512.81 = 69,512.81 : x
  2. Step 2: Convert to fraction form
    31,886.06/69,512.81 = 69,512.81/x
  3. Step 3: Cross multiply
    31,886.06x = 69,512.81 × 69,512.81
  4. Step 4: Simplify right side
    31,886.06x = 4,832,031,101.66
  5. Step 5: Solve for x
    x = 4,832,031,101.66/31,886.06
  6. Step 6: Final answer
    x = 151,540.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.