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Finding the Third Proportional to 8,069.63 and 17,375.06

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Solution

The third proportional to 8,069.63 and 17,375.06 is: 37,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.63 : 17,375.06 = 17,375.06 : x
  2. Step 2: Convert to fraction form
    8,069.63/17,375.06 = 17,375.06/x
  3. Step 3: Cross multiply
    8,069.63x = 17,375.06 × 17,375.06
  4. Step 4: Simplify right side
    8,069.63x = 301,892,796.88
  5. Step 5: Solve for x
    x = 301,892,796.88/8,069.63
  6. Step 6: Final answer
    x = 37,411.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.