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Finding the Third Proportional to 15,228 and 24,182

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Solution

The third proportional to 15,228 and 24,182 is: 38,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228 : 24,182 = 24,182 : x
  2. Step 2: Convert to fraction form
    15,228/24,182 = 24,182/x
  3. Step 3: Cross multiply
    15,228x = 24,182 × 24,182
  4. Step 4: Simplify right side
    15,228x = 584,769,124
  5. Step 5: Solve for x
    x = 584,769,124/15,228
  6. Step 6: Final answer
    x = 38,400.91

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1.5x scale

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.