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Finding the Third Proportional to 20,952.50 and 45,793

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Solution

The third proportional to 20,952.50 and 45,793 is: 100,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.50 : 45,793 = 45,793 : x
  2. Step 2: Convert to fraction form
    20,952.50/45,793 = 45,793/x
  3. Step 3: Cross multiply
    20,952.50x = 45,793 × 45,793
  4. Step 4: Simplify right side
    20,952.50x = 2,096,998,849
  5. Step 5: Solve for x
    x = 2,096,998,849/20,952.50
  6. Step 6: Final answer
    x = 100,083.47

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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.