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Finding the Third Proportional to 20,140 and 23,844

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Solution

The third proportional to 20,140 and 23,844 is: 28,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140 : 23,844 = 23,844 : x
  2. Step 2: Convert to fraction form
    20,140/23,844 = 23,844/x
  3. Step 3: Cross multiply
    20,140x = 23,844 × 23,844
  4. Step 4: Simplify right side
    20,140x = 568,536,336
  5. Step 5: Solve for x
    x = 568,536,336/20,140
  6. Step 6: Final answer
    x = 28,229.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.