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Finding the Third Proportional to 15,223.57 and 24,193.69

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Solution

The third proportional to 15,223.57 and 24,193.69 is: 38,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.57 : 24,193.69 = 24,193.69 : x
  2. Step 2: Convert to fraction form
    15,223.57/24,193.69 = 24,193.69/x
  3. Step 3: Cross multiply
    15,223.57x = 24,193.69 × 24,193.69
  4. Step 4: Simplify right side
    15,223.57x = 585,334,514.85
  5. Step 5: Solve for x
    x = 585,334,514.85/15,223.57
  6. Step 6: Final answer
    x = 38,449.23

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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.