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Finding the Third Proportional to 16,073.44 and 24,573.38

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Solution

The third proportional to 16,073.44 and 24,573.38 is: 37,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.44 : 24,573.38 = 24,573.38 : x
  2. Step 2: Convert to fraction form
    16,073.44/24,573.38 = 24,573.38/x
  3. Step 3: Cross multiply
    16,073.44x = 24,573.38 × 24,573.38
  4. Step 4: Simplify right side
    16,073.44x = 603,850,758.89
  5. Step 5: Solve for x
    x = 603,850,758.89/16,073.44
  6. Step 6: Final answer
    x = 37,568.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.