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Finding the Third Proportional to 22,919.53 and 36,467.48

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Solution

The third proportional to 22,919.53 and 36,467.48 is: 58,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919.53 : 36,467.48 = 36,467.48 : x
  2. Step 2: Convert to fraction form
    22,919.53/36,467.48 = 36,467.48/x
  3. Step 3: Cross multiply
    22,919.53x = 36,467.48 × 36,467.48
  4. Step 4: Simplify right side
    22,919.53x = 1,329,877,416.64
  5. Step 5: Solve for x
    x = 1,329,877,416.64/22,919.53
  6. Step 6: Final answer
    x = 58,023.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.