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Finding the Third Proportional to 7,899.75 and 17,203.50

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Solution

The third proportional to 7,899.75 and 17,203.50 is: 37,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.75 : 17,203.50 = 17,203.50 : x
  2. Step 2: Convert to fraction form
    7,899.75/17,203.50 = 17,203.50/x
  3. Step 3: Cross multiply
    7,899.75x = 17,203.50 × 17,203.50
  4. Step 4: Simplify right side
    7,899.75x = 295,960,412.25
  5. Step 5: Solve for x
    x = 295,960,412.25/7,899.75
  6. Step 6: Final answer
    x = 37,464.53

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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.