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Finding the Third Proportional to 2,837.25 and 5,954.63

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Solution

The third proportional to 2,837.25 and 5,954.63 is: 12,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.25 : 5,954.63 = 5,954.63 : x
  2. Step 2: Convert to fraction form
    2,837.25/5,954.63 = 5,954.63/x
  3. Step 3: Cross multiply
    2,837.25x = 5,954.63 × 5,954.63
  4. Step 4: Simplify right side
    2,837.25x = 35,457,558.89
  5. Step 5: Solve for x
    x = 35,457,558.89/2,837.25
  6. Step 6: Final answer
    x = 12,497.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.