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Finding the Third Proportional to 5,691.94 and 12,290.06

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Solution

The third proportional to 5,691.94 and 12,290.06 is: 26,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.94 : 12,290.06 = 12,290.06 : x
  2. Step 2: Convert to fraction form
    5,691.94/12,290.06 = 12,290.06/x
  3. Step 3: Cross multiply
    5,691.94x = 12,290.06 × 12,290.06
  4. Step 4: Simplify right side
    5,691.94x = 151,045,636.25
  5. Step 5: Solve for x
    x = 151,045,636.25/5,691.94
  6. Step 6: Final answer
    x = 26,536.77

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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.