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Finding the Third Proportional to 5,972.06 and 9,266.06

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Solution

The third proportional to 5,972.06 and 9,266.06 is: 14,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.06 : 9,266.06 = 9,266.06 : x
  2. Step 2: Convert to fraction form
    5,972.06/9,266.06 = 9,266.06/x
  3. Step 3: Cross multiply
    5,972.06x = 9,266.06 × 9,266.06
  4. Step 4: Simplify right side
    5,972.06x = 85,859,914.25
  5. Step 5: Solve for x
    x = 85,859,914.25/5,972.06
  6. Step 6: Final answer
    x = 14,376.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.