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Finding the Third Proportional to 20,114 and 28,865

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Solution

The third proportional to 20,114 and 28,865 is: 41,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 28,865 = 28,865 : x
  2. Step 2: Convert to fraction form
    20,114/28,865 = 28,865/x
  3. Step 3: Cross multiply
    20,114x = 28,865 × 28,865
  4. Step 4: Simplify right side
    20,114x = 833,188,225
  5. Step 5: Solve for x
    x = 833,188,225/20,114
  6. Step 6: Final answer
    x = 41,423.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.