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Finding the Third Proportional to 9,209.06 and 13,890.19

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Solution

The third proportional to 9,209.06 and 13,890.19 is: 20,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.06 : 13,890.19 = 13,890.19 : x
  2. Step 2: Convert to fraction form
    9,209.06/13,890.19 = 13,890.19/x
  3. Step 3: Cross multiply
    9,209.06x = 13,890.19 × 13,890.19
  4. Step 4: Simplify right side
    9,209.06x = 192,937,308.79
  5. Step 5: Solve for x
    x = 192,937,308.79/9,209.06
  6. Step 6: Final answer
    x = 20,950.81

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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.