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Finding the Third Proportional to 20,562 and 45,165

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Solution

The third proportional to 20,562 and 45,165 is: 99,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562 : 45,165 = 45,165 : x
  2. Step 2: Convert to fraction form
    20,562/45,165 = 45,165/x
  3. Step 3: Cross multiply
    20,562x = 45,165 × 45,165
  4. Step 4: Simplify right side
    20,562x = 2,039,877,225
  5. Step 5: Solve for x
    x = 2,039,877,225/20,562
  6. Step 6: Final answer
    x = 99,206.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.