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Finding the Third Proportional to 17,127 and 31,788

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Solution

The third proportional to 17,127 and 31,788 is: 58,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127 : 31,788 = 31,788 : x
  2. Step 2: Convert to fraction form
    17,127/31,788 = 31,788/x
  3. Step 3: Cross multiply
    17,127x = 31,788 × 31,788
  4. Step 4: Simplify right side
    17,127x = 1,010,476,944
  5. Step 5: Solve for x
    x = 1,010,476,944/17,127
  6. Step 6: Final answer
    x = 58,999.06

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.