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Finding the Third Proportional to 20,185.31 and 47,147.06

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Solution

The third proportional to 20,185.31 and 47,147.06 is: 110,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.31 : 47,147.06 = 47,147.06 : x
  2. Step 2: Convert to fraction form
    20,185.31/47,147.06 = 47,147.06/x
  3. Step 3: Cross multiply
    20,185.31x = 47,147.06 × 47,147.06
  4. Step 4: Simplify right side
    20,185.31x = 2,222,845,502.38
  5. Step 5: Solve for x
    x = 2,222,845,502.38/20,185.31
  6. Step 6: Final answer
    x = 110,121.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.