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Finding the Third Proportional to 6,971.06 and 15,197.94

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Solution

The third proportional to 6,971.06 and 15,197.94 is: 33,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.06 : 15,197.94 = 15,197.94 : x
  2. Step 2: Convert to fraction form
    6,971.06/15,197.94 = 15,197.94/x
  3. Step 3: Cross multiply
    6,971.06x = 15,197.94 × 15,197.94
  4. Step 4: Simplify right side
    6,971.06x = 230,977,422.99
  5. Step 5: Solve for x
    x = 230,977,422.99/6,971.06
  6. Step 6: Final answer
    x = 33,133.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.