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Finding the Third Proportional to 20,827 and 45,351

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Solution

The third proportional to 20,827 and 45,351 is: 98,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827 : 45,351 = 45,351 : x
  2. Step 2: Convert to fraction form
    20,827/45,351 = 45,351/x
  3. Step 3: Cross multiply
    20,827x = 45,351 × 45,351
  4. Step 4: Simplify right side
    20,827x = 2,056,713,201
  5. Step 5: Solve for x
    x = 2,056,713,201/20,827
  6. Step 6: Final answer
    x = 98,752.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.