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Finding the Third Proportional to 11,378 and 24,820

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Solution

The third proportional to 11,378 and 24,820 is: 54,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378 : 24,820 = 24,820 : x
  2. Step 2: Convert to fraction form
    11,378/24,820 = 24,820/x
  3. Step 3: Cross multiply
    11,378x = 24,820 × 24,820
  4. Step 4: Simplify right side
    11,378x = 616,032,400
  5. Step 5: Solve for x
    x = 616,032,400/11,378
  6. Step 6: Final answer
    x = 54,142.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.