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Finding the Third Proportional to 15,424 and 24,176

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Solution

The third proportional to 15,424 and 24,176 is: 37,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 24,176 = 24,176 : x
  2. Step 2: Convert to fraction form
    15,424/24,176 = 24,176/x
  3. Step 3: Cross multiply
    15,424x = 24,176 × 24,176
  4. Step 4: Simplify right side
    15,424x = 584,478,976
  5. Step 5: Solve for x
    x = 584,478,976/15,424
  6. Step 6: Final answer
    x = 37,894.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.