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Finding the Third Proportional to 8,252 and 13,178

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Solution

The third proportional to 8,252 and 13,178 is: 21,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252 : 13,178 = 13,178 : x
  2. Step 2: Convert to fraction form
    8,252/13,178 = 13,178/x
  3. Step 3: Cross multiply
    8,252x = 13,178 × 13,178
  4. Step 4: Simplify right side
    8,252x = 173,659,684
  5. Step 5: Solve for x
    x = 173,659,684/8,252
  6. Step 6: Final answer
    x = 21,044.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.