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Finding the Third Proportional to 6,922 and 10,455

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Solution

The third proportional to 6,922 and 10,455 is: 15,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922 : 10,455 = 10,455 : x
  2. Step 2: Convert to fraction form
    6,922/10,455 = 10,455/x
  3. Step 3: Cross multiply
    6,922x = 10,455 × 10,455
  4. Step 4: Simplify right side
    6,922x = 109,307,025
  5. Step 5: Solve for x
    x = 109,307,025/6,922
  6. Step 6: Final answer
    x = 15,791.25

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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.