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Finding the Third Proportional to 20,610 and 31,187

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Solution

The third proportional to 20,610 and 31,187 is: 47,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,610 : 31,187 = 31,187 : x
  2. Step 2: Convert to fraction form
    20,610/31,187 = 31,187/x
  3. Step 3: Cross multiply
    20,610x = 31,187 × 31,187
  4. Step 4: Simplify right side
    20,610x = 972,628,969
  5. Step 5: Solve for x
    x = 972,628,969/20,610
  6. Step 6: Final answer
    x = 47,192.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.