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Finding the Third Proportional to 13,347 and 30,895

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Solution

The third proportional to 13,347 and 30,895 is: 71,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347 : 30,895 = 30,895 : x
  2. Step 2: Convert to fraction form
    13,347/30,895 = 30,895/x
  3. Step 3: Cross multiply
    13,347x = 30,895 × 30,895
  4. Step 4: Simplify right side
    13,347x = 954,501,025
  5. Step 5: Solve for x
    x = 954,501,025/13,347
  6. Step 6: Final answer
    x = 71,514.27

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.