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Finding the Third Proportional to 7,922 and 10,661

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Solution

The third proportional to 7,922 and 10,661 is: 14,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922 : 10,661 = 10,661 : x
  2. Step 2: Convert to fraction form
    7,922/10,661 = 10,661/x
  3. Step 3: Cross multiply
    7,922x = 10,661 × 10,661
  4. Step 4: Simplify right side
    7,922x = 113,656,921
  5. Step 5: Solve for x
    x = 113,656,921/7,922
  6. Step 6: Final answer
    x = 14,347.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.