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Finding the Third Proportional to 10,284 and 10,980

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Solution

The third proportional to 10,284 and 10,980 is: 11,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 10,980 = 10,980 : x
  2. Step 2: Convert to fraction form
    10,284/10,980 = 10,980/x
  3. Step 3: Cross multiply
    10,284x = 10,980 × 10,980
  4. Step 4: Simplify right side
    10,284x = 120,560,400
  5. Step 5: Solve for x
    x = 120,560,400/10,284
  6. Step 6: Final answer
    x = 11,723.10

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.