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Finding the Third Proportional to 5,230 and 12,319

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Solution

The third proportional to 5,230 and 12,319 is: 29,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 12,319 = 12,319 : x
  2. Step 2: Convert to fraction form
    5,230/12,319 = 12,319/x
  3. Step 3: Cross multiply
    5,230x = 12,319 × 12,319
  4. Step 4: Simplify right side
    5,230x = 151,757,761
  5. Step 5: Solve for x
    x = 151,757,761/5,230
  6. Step 6: Final answer
    x = 29,016.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.