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Finding the Third Proportional to 20,076 and 28,284

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Solution

The third proportional to 20,076 and 28,284 is: 39,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 28,284 = 28,284 : x
  2. Step 2: Convert to fraction form
    20,076/28,284 = 28,284/x
  3. Step 3: Cross multiply
    20,076x = 28,284 × 28,284
  4. Step 4: Simplify right side
    20,076x = 799,984,656
  5. Step 5: Solve for x
    x = 799,984,656/20,076
  6. Step 6: Final answer
    x = 39,847.81

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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.