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Finding the Third Proportional to 2,476.51 and 3,673.83

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Solution

The third proportional to 2,476.51 and 3,673.83 is: 5,450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.51 : 3,673.83 = 3,673.83 : x
  2. Step 2: Convert to fraction form
    2,476.51/3,673.83 = 3,673.83/x
  3. Step 3: Cross multiply
    2,476.51x = 3,673.83 × 3,673.83
  4. Step 4: Simplify right side
    2,476.51x = 13,497,013.09
  5. Step 5: Solve for x
    x = 13,497,013.09/2,476.51
  6. Step 6: Final answer
    x = 5,450.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.