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Finding the Third Proportional to 17,314 and 18,970

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Solution

The third proportional to 17,314 and 18,970 is: 20,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314 : 18,970 = 18,970 : x
  2. Step 2: Convert to fraction form
    17,314/18,970 = 18,970/x
  3. Step 3: Cross multiply
    17,314x = 18,970 × 18,970
  4. Step 4: Simplify right side
    17,314x = 359,860,900
  5. Step 5: Solve for x
    x = 359,860,900/17,314
  6. Step 6: Final answer
    x = 20,784.39

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.