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Finding the Third Proportional to 31,673.63 and 68,256.38

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Solution

The third proportional to 31,673.63 and 68,256.38 is: 147,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.63 : 68,256.38 = 68,256.38 : x
  2. Step 2: Convert to fraction form
    31,673.63/68,256.38 = 68,256.38/x
  3. Step 3: Cross multiply
    31,673.63x = 68,256.38 × 68,256.38
  4. Step 4: Simplify right side
    31,673.63x = 4,658,932,728.14
  5. Step 5: Solve for x
    x = 4,658,932,728.14/31,673.63
  6. Step 6: Final answer
    x = 147,091.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.