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Finding the Third Proportional to 20,508 and 44,721.50

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Solution

The third proportional to 20,508 and 44,721.50 is: 97,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508 : 44,721.50 = 44,721.50 : x
  2. Step 2: Convert to fraction form
    20,508/44,721.50 = 44,721.50/x
  3. Step 3: Cross multiply
    20,508x = 44,721.50 × 44,721.50
  4. Step 4: Simplify right side
    20,508x = 2,000,012,562.25
  5. Step 5: Solve for x
    x = 2,000,012,562.25/20,508
  6. Step 6: Final answer
    x = 97,523.53

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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.