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Finding the Third Proportional to 31,629 and 66,180.75

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Solution

The third proportional to 31,629 and 66,180.75 is: 138,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,629 : 66,180.75 = 66,180.75 : x
  2. Step 2: Convert to fraction form
    31,629/66,180.75 = 66,180.75/x
  3. Step 3: Cross multiply
    31,629x = 66,180.75 × 66,180.75
  4. Step 4: Simplify right side
    31,629x = 4,379,891,670.56
  5. Step 5: Solve for x
    x = 4,379,891,670.56/31,629
  6. Step 6: Final answer
    x = 138,477.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.