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Finding the Third Proportional to 20,781 and 44,538.75

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Solution

The third proportional to 20,781 and 44,538.75 is: 95,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781 : 44,538.75 = 44,538.75 : x
  2. Step 2: Convert to fraction form
    20,781/44,538.75 = 44,538.75/x
  3. Step 3: Cross multiply
    20,781x = 44,538.75 × 44,538.75
  4. Step 4: Simplify right side
    20,781x = 1,983,700,251.56
  5. Step 5: Solve for x
    x = 1,983,700,251.56/20,781
  6. Step 6: Final answer
    x = 95,457.40

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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.