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Finding the Third Proportional to 10,017 and 13,443

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Solution

The third proportional to 10,017 and 13,443 is: 18,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017 : 13,443 = 13,443 : x
  2. Step 2: Convert to fraction form
    10,017/13,443 = 13,443/x
  3. Step 3: Cross multiply
    10,017x = 13,443 × 13,443
  4. Step 4: Simplify right side
    10,017x = 180,714,249
  5. Step 5: Solve for x
    x = 180,714,249/10,017
  6. Step 6: Final answer
    x = 18,040.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.