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Finding the Third Proportional to 10,454.50 and 22,425

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Solution

The third proportional to 10,454.50 and 22,425 is: 48,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.50 : 22,425 = 22,425 : x
  2. Step 2: Convert to fraction form
    10,454.50/22,425 = 22,425/x
  3. Step 3: Cross multiply
    10,454.50x = 22,425 × 22,425
  4. Step 4: Simplify right side
    10,454.50x = 502,880,625
  5. Step 5: Solve for x
    x = 502,880,625/10,454.50
  6. Step 6: Final answer
    x = 48,101.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.