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Finding the Third Proportional to 10,174.50 and 22,392

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Solution

The third proportional to 10,174.50 and 22,392 is: 49,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.50 : 22,392 = 22,392 : x
  2. Step 2: Convert to fraction form
    10,174.50/22,392 = 22,392/x
  3. Step 3: Cross multiply
    10,174.50x = 22,392 × 22,392
  4. Step 4: Simplify right side
    10,174.50x = 501,401,664
  5. Step 5: Solve for x
    x = 501,401,664/10,174.50
  6. Step 6: Final answer
    x = 49,280.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.