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Finding the Third Proportional to 20,865 and 45,269

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Solution

The third proportional to 20,865 and 45,269 is: 98,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865 : 45,269 = 45,269 : x
  2. Step 2: Convert to fraction form
    20,865/45,269 = 45,269/x
  3. Step 3: Cross multiply
    20,865x = 45,269 × 45,269
  4. Step 4: Simplify right side
    20,865x = 2,049,282,361
  5. Step 5: Solve for x
    x = 2,049,282,361/20,865
  6. Step 6: Final answer
    x = 98,216.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.