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Finding the Third Proportional to 20,624 and 45,112

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Solution

The third proportional to 20,624 and 45,112 is: 98,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 45,112 = 45,112 : x
  2. Step 2: Convert to fraction form
    20,624/45,112 = 45,112/x
  3. Step 3: Cross multiply
    20,624x = 45,112 × 45,112
  4. Step 4: Simplify right side
    20,624x = 2,035,092,544
  5. Step 5: Solve for x
    x = 2,035,092,544/20,624
  6. Step 6: Final answer
    x = 98,675.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.