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Finding the Third Proportional to 3,727.90 and 7,971.54

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Solution

The third proportional to 3,727.90 and 7,971.54 is: 17,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.90 : 7,971.54 = 7,971.54 : x
  2. Step 2: Convert to fraction form
    3,727.90/7,971.54 = 7,971.54/x
  3. Step 3: Cross multiply
    3,727.90x = 7,971.54 × 7,971.54
  4. Step 4: Simplify right side
    3,727.90x = 63,545,435.02
  5. Step 5: Solve for x
    x = 63,545,435.02/3,727.90
  6. Step 6: Final answer
    x = 17,045.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.