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Finding the Third Proportional to 6,350 and 15,443

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Solution

The third proportional to 6,350 and 15,443 is: 37,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350 : 15,443 = 15,443 : x
  2. Step 2: Convert to fraction form
    6,350/15,443 = 15,443/x
  3. Step 3: Cross multiply
    6,350x = 15,443 × 15,443
  4. Step 4: Simplify right side
    6,350x = 238,486,249
  5. Step 5: Solve for x
    x = 238,486,249/6,350
  6. Step 6: Final answer
    x = 37,556.89

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.