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Finding the Third Proportional to 20,353.50 and 42,894

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Solution

The third proportional to 20,353.50 and 42,894 is: 90,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,353.50 : 42,894 = 42,894 : x
  2. Step 2: Convert to fraction form
    20,353.50/42,894 = 42,894/x
  3. Step 3: Cross multiply
    20,353.50x = 42,894 × 42,894
  4. Step 4: Simplify right side
    20,353.50x = 1,839,895,236
  5. Step 5: Solve for x
    x = 1,839,895,236/20,353.50
  6. Step 6: Final answer
    x = 90,396.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.