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Finding the Third Proportional to 8,026 and 15,044

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Solution

The third proportional to 8,026 and 15,044 is: 28,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026 : 15,044 = 15,044 : x
  2. Step 2: Convert to fraction form
    8,026/15,044 = 15,044/x
  3. Step 3: Cross multiply
    8,026x = 15,044 × 15,044
  4. Step 4: Simplify right side
    8,026x = 226,321,936
  5. Step 5: Solve for x
    x = 226,321,936/8,026
  6. Step 6: Final answer
    x = 28,198.60

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.