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Finding the Third Proportional to 17,679 and 37,402.50

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Solution

The third proportional to 17,679 and 37,402.50 is: 79,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679 : 37,402.50 = 37,402.50 : x
  2. Step 2: Convert to fraction form
    17,679/37,402.50 = 37,402.50/x
  3. Step 3: Cross multiply
    17,679x = 37,402.50 × 37,402.50
  4. Step 4: Simplify right side
    17,679x = 1,398,947,006.25
  5. Step 5: Solve for x
    x = 1,398,947,006.25/17,679
  6. Step 6: Final answer
    x = 79,130.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.