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Finding the Third Proportional to 5,293 and 12,563

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Solution

The third proportional to 5,293 and 12,563 is: 29,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293 : 12,563 = 12,563 : x
  2. Step 2: Convert to fraction form
    5,293/12,563 = 12,563/x
  3. Step 3: Cross multiply
    5,293x = 12,563 × 12,563
  4. Step 4: Simplify right side
    5,293x = 157,828,969
  5. Step 5: Solve for x
    x = 157,828,969/5,293
  6. Step 6: Final answer
    x = 29,818.43

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.