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Finding the Third Proportional to 24,162 and 35,378

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Solution

The third proportional to 24,162 and 35,378 is: 51,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162 : 35,378 = 35,378 : x
  2. Step 2: Convert to fraction form
    24,162/35,378 = 35,378/x
  3. Step 3: Cross multiply
    24,162x = 35,378 × 35,378
  4. Step 4: Simplify right side
    24,162x = 1,251,602,884
  5. Step 5: Solve for x
    x = 1,251,602,884/24,162
  6. Step 6: Final answer
    x = 51,800.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.