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Finding the Third Proportional to 12,890.81 and 17,392.22

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Solution

The third proportional to 12,890.81 and 17,392.22 is: 23,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.81 : 17,392.22 = 17,392.22 : x
  2. Step 2: Convert to fraction form
    12,890.81/17,392.22 = 17,392.22/x
  3. Step 3: Cross multiply
    12,890.81x = 17,392.22 × 17,392.22
  4. Step 4: Simplify right side
    12,890.81x = 302,489,273.05
  5. Step 5: Solve for x
    x = 302,489,273.05/12,890.81
  6. Step 6: Final answer
    x = 23,465.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.