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Finding the Third Proportional to 20,507 and 44,845

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Solution

The third proportional to 20,507 and 44,845 is: 98,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507 : 44,845 = 44,845 : x
  2. Step 2: Convert to fraction form
    20,507/44,845 = 44,845/x
  3. Step 3: Cross multiply
    20,507x = 44,845 × 44,845
  4. Step 4: Simplify right side
    20,507x = 2,011,074,025
  5. Step 5: Solve for x
    x = 2,011,074,025/20,507
  6. Step 6: Final answer
    x = 98,067.69

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Why These Related Problems?

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