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Finding the Third Proportional to 17,374 and 37,934.50

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Solution

The third proportional to 17,374 and 37,934.50 is: 82,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374 : 37,934.50 = 37,934.50 : x
  2. Step 2: Convert to fraction form
    17,374/37,934.50 = 37,934.50/x
  3. Step 3: Cross multiply
    17,374x = 37,934.50 × 37,934.50
  4. Step 4: Simplify right side
    17,374x = 1,439,026,290.25
  5. Step 5: Solve for x
    x = 1,439,026,290.25/17,374
  6. Step 6: Final answer
    x = 82,826.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.