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Finding the Third Proportional to 17,374.50 and 35,363.63

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Solution

The third proportional to 17,374.50 and 35,363.63 is: 71,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.50 : 35,363.63 = 35,363.63 : x
  2. Step 2: Convert to fraction form
    17,374.50/35,363.63 = 35,363.63/x
  3. Step 3: Cross multiply
    17,374.50x = 35,363.63 × 35,363.63
  4. Step 4: Simplify right side
    17,374.50x = 1,250,585,973.14
  5. Step 5: Solve for x
    x = 1,250,585,973.14/17,374.50
  6. Step 6: Final answer
    x = 71,978.24

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.