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Finding the Third Proportional to 7,922.81 and 17,085.94

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Solution

The third proportional to 7,922.81 and 17,085.94 is: 36,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.81 : 17,085.94 = 17,085.94 : x
  2. Step 2: Convert to fraction form
    7,922.81/17,085.94 = 17,085.94/x
  3. Step 3: Cross multiply
    7,922.81x = 17,085.94 × 17,085.94
  4. Step 4: Simplify right side
    7,922.81x = 291,929,260.25
  5. Step 5: Solve for x
    x = 291,929,260.25/7,922.81
  6. Step 6: Final answer
    x = 36,846.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.