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Finding the Third Proportional to 9,314.22 and 14,091.72

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Solution

The third proportional to 9,314.22 and 14,091.72 is: 21,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.22 : 14,091.72 = 14,091.72 : x
  2. Step 2: Convert to fraction form
    9,314.22/14,091.72 = 14,091.72/x
  3. Step 3: Cross multiply
    9,314.22x = 14,091.72 × 14,091.72
  4. Step 4: Simplify right side
    9,314.22x = 198,576,537.33
  5. Step 5: Solve for x
    x = 198,576,537.33/9,314.22
  6. Step 6: Final answer
    x = 21,319.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.