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Finding the Third Proportional to 24,256 and 52,616

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Solution

The third proportional to 24,256 and 52,616 is: 114,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256 : 52,616 = 52,616 : x
  2. Step 2: Convert to fraction form
    24,256/52,616 = 52,616/x
  3. Step 3: Cross multiply
    24,256x = 52,616 × 52,616
  4. Step 4: Simplify right side
    24,256x = 2,768,443,456
  5. Step 5: Solve for x
    x = 2,768,443,456/24,256
  6. Step 6: Final answer
    x = 114,134.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.