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Finding the Third Proportional to 11,701.97 and 12,617.02

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Solution

The third proportional to 11,701.97 and 12,617.02 is: 13,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 12,617.02 = 12,617.02 : x
  2. Step 2: Convert to fraction form
    11,701.97/12,617.02 = 12,617.02/x
  3. Step 3: Cross multiply
    11,701.97x = 12,617.02 × 12,617.02
  4. Step 4: Simplify right side
    11,701.97x = 159,189,083.28
  5. Step 5: Solve for x
    x = 159,189,083.28/11,701.97
  6. Step 6: Final answer
    x = 13,603.62

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.