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Finding the Third Proportional to 10,411 and 22,927

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Solution

The third proportional to 10,411 and 22,927 is: 50,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411 : 22,927 = 22,927 : x
  2. Step 2: Convert to fraction form
    10,411/22,927 = 22,927/x
  3. Step 3: Cross multiply
    10,411x = 22,927 × 22,927
  4. Step 4: Simplify right side
    10,411x = 525,647,329
  5. Step 5: Solve for x
    x = 525,647,329/10,411
  6. Step 6: Final answer
    x = 50,489.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.