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Finding the Third Proportional to 7,172 and 10,805

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Solution

The third proportional to 7,172 and 10,805 is: 16,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172 : 10,805 = 10,805 : x
  2. Step 2: Convert to fraction form
    7,172/10,805 = 10,805/x
  3. Step 3: Cross multiply
    7,172x = 10,805 × 10,805
  4. Step 4: Simplify right side
    7,172x = 116,748,025
  5. Step 5: Solve for x
    x = 116,748,025/7,172
  6. Step 6: Final answer
    x = 16,278.31

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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.