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Finding the Third Proportional to 3,810.38 and 5,972.06

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Solution

The third proportional to 3,810.38 and 5,972.06 is: 9,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.38 : 5,972.06 = 5,972.06 : x
  2. Step 2: Convert to fraction form
    3,810.38/5,972.06 = 5,972.06/x
  3. Step 3: Cross multiply
    3,810.38x = 5,972.06 × 5,972.06
  4. Step 4: Simplify right side
    3,810.38x = 35,665,530.50
  5. Step 5: Solve for x
    x = 35,665,530.50/3,810.38
  6. Step 6: Final answer
    x = 9,360.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.