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Finding the Third Proportional to 5,524 and 13,178

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Solution

The third proportional to 5,524 and 13,178 is: 31,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524 : 13,178 = 13,178 : x
  2. Step 2: Convert to fraction form
    5,524/13,178 = 13,178/x
  3. Step 3: Cross multiply
    5,524x = 13,178 × 13,178
  4. Step 4: Simplify right side
    5,524x = 173,659,684
  5. Step 5: Solve for x
    x = 173,659,684/5,524
  6. Step 6: Final answer
    x = 31,437.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.