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Finding the Third Proportional to 7,951.50 and 9,085.50

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Solution

The third proportional to 7,951.50 and 9,085.50 is: 10,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.50 : 9,085.50 = 9,085.50 : x
  2. Step 2: Convert to fraction form
    7,951.50/9,085.50 = 9,085.50/x
  3. Step 3: Cross multiply
    7,951.50x = 9,085.50 × 9,085.50
  4. Step 4: Simplify right side
    7,951.50x = 82,546,310.25
  5. Step 5: Solve for x
    x = 82,546,310.25/7,951.50
  6. Step 6: Final answer
    x = 10,381.22

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.