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Finding the Third Proportional to 9,139 and 13,805

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Solution

The third proportional to 9,139 and 13,805 is: 20,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139 : 13,805 = 13,805 : x
  2. Step 2: Convert to fraction form
    9,139/13,805 = 13,805/x
  3. Step 3: Cross multiply
    9,139x = 13,805 × 13,805
  4. Step 4: Simplify right side
    9,139x = 190,578,025
  5. Step 5: Solve for x
    x = 190,578,025/9,139
  6. Step 6: Final answer
    x = 20,853.27

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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.