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Finding the Third Proportional to 10,224.94 and 15,000.38

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Solution

The third proportional to 10,224.94 and 15,000.38 is: 22,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.94 : 15,000.38 = 15,000.38 : x
  2. Step 2: Convert to fraction form
    10,224.94/15,000.38 = 15,000.38/x
  3. Step 3: Cross multiply
    10,224.94x = 15,000.38 × 15,000.38
  4. Step 4: Simplify right side
    10,224.94x = 225,011,250.14
  5. Step 5: Solve for x
    x = 225,011,250.14/10,224.94
  6. Step 6: Final answer
    x = 22,006.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.