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Finding the Third Proportional to 20,788 and 45,951

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Solution

The third proportional to 20,788 and 45,951 is: 101,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788 : 45,951 = 45,951 : x
  2. Step 2: Convert to fraction form
    20,788/45,951 = 45,951/x
  3. Step 3: Cross multiply
    20,788x = 45,951 × 45,951
  4. Step 4: Simplify right side
    20,788x = 2,111,494,401
  5. Step 5: Solve for x
    x = 2,111,494,401/20,788
  6. Step 6: Final answer
    x = 101,572.75

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.