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Finding the Third Proportional to 2,474.16 and 3,630.09

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Solution

The third proportional to 2,474.16 and 3,630.09 is: 5,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.16 : 3,630.09 = 3,630.09 : x
  2. Step 2: Convert to fraction form
    2,474.16/3,630.09 = 3,630.09/x
  3. Step 3: Cross multiply
    2,474.16x = 3,630.09 × 3,630.09
  4. Step 4: Simplify right side
    2,474.16x = 13,177,580.63
  5. Step 5: Solve for x
    x = 13,177,580.63/2,474.16
  6. Step 6: Final answer
    x = 5,326.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.