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Finding the Third Proportional to 20,292 and 23,937

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Solution

The third proportional to 20,292 and 23,937 is: 28,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292 : 23,937 = 23,937 : x
  2. Step 2: Convert to fraction form
    20,292/23,937 = 23,937/x
  3. Step 3: Cross multiply
    20,292x = 23,937 × 23,937
  4. Step 4: Simplify right side
    20,292x = 572,979,969
  5. Step 5: Solve for x
    x = 572,979,969/20,292
  6. Step 6: Final answer
    x = 28,236.74

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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.