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Finding the Third Proportional to 1,625.06 and 2,199.09

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Solution

The third proportional to 1,625.06 and 2,199.09 is: 2,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.06 : 2,199.09 = 2,199.09 : x
  2. Step 2: Convert to fraction form
    1,625.06/2,199.09 = 2,199.09/x
  3. Step 3: Cross multiply
    1,625.06x = 2,199.09 × 2,199.09
  4. Step 4: Simplify right side
    1,625.06x = 4,836,013.32
  5. Step 5: Solve for x
    x = 4,836,013.32/1,625.06
  6. Step 6: Final answer
    x = 2,975.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.