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Finding the Third Proportional to 24,228 and 35,544

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Solution

The third proportional to 24,228 and 35,544 is: 52,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 35,544 = 35,544 : x
  2. Step 2: Convert to fraction form
    24,228/35,544 = 35,544/x
  3. Step 3: Cross multiply
    24,228x = 35,544 × 35,544
  4. Step 4: Simplify right side
    24,228x = 1,263,375,936
  5. Step 5: Solve for x
    x = 1,263,375,936/24,228
  6. Step 6: Final answer
    x = 52,145.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.