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Finding the Third Proportional to 15,174.75 and 19,230.38

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Solution

The third proportional to 15,174.75 and 19,230.38 is: 24,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.75 : 19,230.38 = 19,230.38 : x
  2. Step 2: Convert to fraction form
    15,174.75/19,230.38 = 19,230.38/x
  3. Step 3: Cross multiply
    15,174.75x = 19,230.38 × 19,230.38
  4. Step 4: Simplify right side
    15,174.75x = 369,807,322.64
  5. Step 5: Solve for x
    x = 369,807,322.64/15,174.75
  6. Step 6: Final answer
    x = 24,369.91

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.