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Finding the Third Proportional to 7,806 and 11,696.25

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Solution

The third proportional to 7,806 and 11,696.25 is: 17,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 11,696.25 = 11,696.25 : x
  2. Step 2: Convert to fraction form
    7,806/11,696.25 = 11,696.25/x
  3. Step 3: Cross multiply
    7,806x = 11,696.25 × 11,696.25
  4. Step 4: Simplify right side
    7,806x = 136,802,264.06
  5. Step 5: Solve for x
    x = 136,802,264.06/7,806
  6. Step 6: Final answer
    x = 17,525.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.