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Finding the Third Proportional to 7,986.09 and 17,366.06

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Solution

The third proportional to 7,986.09 and 17,366.06 is: 37,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.09 : 17,366.06 = 17,366.06 : x
  2. Step 2: Convert to fraction form
    7,986.09/17,366.06 = 17,366.06/x
  3. Step 3: Cross multiply
    7,986.09x = 17,366.06 × 17,366.06
  4. Step 4: Simplify right side
    7,986.09x = 301,580,126.75
  5. Step 5: Solve for x
    x = 301,580,126.75/7,986.09
  6. Step 6: Final answer
    x = 37,763.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.