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Finding the Third Proportional to 20,281 and 29,875

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Solution

The third proportional to 20,281 and 29,875 is: 44,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281 : 29,875 = 29,875 : x
  2. Step 2: Convert to fraction form
    20,281/29,875 = 29,875/x
  3. Step 3: Cross multiply
    20,281x = 29,875 × 29,875
  4. Step 4: Simplify right side
    20,281x = 892,515,625
  5. Step 5: Solve for x
    x = 892,515,625/20,281
  6. Step 6: Final answer
    x = 44,007.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.