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Finding the Third Proportional to 20,807 and 44,530

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Solution

The third proportional to 20,807 and 44,530 is: 95,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807 : 44,530 = 44,530 : x
  2. Step 2: Convert to fraction form
    20,807/44,530 = 44,530/x
  3. Step 3: Cross multiply
    20,807x = 44,530 × 44,530
  4. Step 4: Simplify right side
    20,807x = 1,982,920,900
  5. Step 5: Solve for x
    x = 1,982,920,900/20,807
  6. Step 6: Final answer
    x = 95,300.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.