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Finding the Third Proportional to 14,525 and 30,794

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Solution

The third proportional to 14,525 and 30,794 is: 65,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525 : 30,794 = 30,794 : x
  2. Step 2: Convert to fraction form
    14,525/30,794 = 30,794/x
  3. Step 3: Cross multiply
    14,525x = 30,794 × 30,794
  4. Step 4: Simplify right side
    14,525x = 948,270,436
  5. Step 5: Solve for x
    x = 948,270,436/14,525
  6. Step 6: Final answer
    x = 65,285.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.