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Finding the Third Proportional to 9,211.50 and 14,166.75

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Solution

The third proportional to 9,211.50 and 14,166.75 is: 21,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.50 : 14,166.75 = 14,166.75 : x
  2. Step 2: Convert to fraction form
    9,211.50/14,166.75 = 14,166.75/x
  3. Step 3: Cross multiply
    9,211.50x = 14,166.75 × 14,166.75
  4. Step 4: Simplify right side
    9,211.50x = 200,696,805.56
  5. Step 5: Solve for x
    x = 200,696,805.56/9,211.50
  6. Step 6: Final answer
    x = 21,787.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.