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Finding the Third Proportional to 5,026 and 8,339

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Solution

The third proportional to 5,026 and 8,339 is: 13,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026 : 8,339 = 8,339 : x
  2. Step 2: Convert to fraction form
    5,026/8,339 = 8,339/x
  3. Step 3: Cross multiply
    5,026x = 8,339 × 8,339
  4. Step 4: Simplify right side
    5,026x = 69,538,921
  5. Step 5: Solve for x
    x = 69,538,921/5,026
  6. Step 6: Final answer
    x = 13,835.84

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.