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Finding the Third Proportional to 8,496 and 20,344

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Solution

The third proportional to 8,496 and 20,344 is: 48,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 20,344 = 20,344 : x
  2. Step 2: Convert to fraction form
    8,496/20,344 = 20,344/x
  3. Step 3: Cross multiply
    8,496x = 20,344 × 20,344
  4. Step 4: Simplify right side
    8,496x = 413,878,336
  5. Step 5: Solve for x
    x = 413,878,336/8,496
  6. Step 6: Final answer
    x = 48,714.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.