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Finding the Third Proportional to 17,340 and 19,140

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Solution

The third proportional to 17,340 and 19,140 is: 21,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340 : 19,140 = 19,140 : x
  2. Step 2: Convert to fraction form
    17,340/19,140 = 19,140/x
  3. Step 3: Cross multiply
    17,340x = 19,140 × 19,140
  4. Step 4: Simplify right side
    17,340x = 366,339,600
  5. Step 5: Solve for x
    x = 366,339,600/17,340
  6. Step 6: Final answer
    x = 21,126.85

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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.