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Finding the Third Proportional to 20,114 and 28,287

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Solution

The third proportional to 20,114 and 28,287 is: 39,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 28,287 = 28,287 : x
  2. Step 2: Convert to fraction form
    20,114/28,287 = 28,287/x
  3. Step 3: Cross multiply
    20,114x = 28,287 × 28,287
  4. Step 4: Simplify right side
    20,114x = 800,154,369
  5. Step 5: Solve for x
    x = 800,154,369/20,114
  6. Step 6: Final answer
    x = 39,780.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.