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Finding the Third Proportional to 6,972.75 and 14,986.69

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Solution

The third proportional to 6,972.75 and 14,986.69 is: 32,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 14,986.69 = 14,986.69 : x
  2. Step 2: Convert to fraction form
    6,972.75/14,986.69 = 14,986.69/x
  3. Step 3: Cross multiply
    6,972.75x = 14,986.69 × 14,986.69
  4. Step 4: Simplify right side
    6,972.75x = 224,600,802.22
  5. Step 5: Solve for x
    x = 224,600,802.22/6,972.75
  6. Step 6: Final answer
    x = 32,211.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.