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Finding the Third Proportional to 9,143.25 and 12,256.88

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Solution

The third proportional to 9,143.25 and 12,256.88 is: 16,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.25 : 12,256.88 = 12,256.88 : x
  2. Step 2: Convert to fraction form
    9,143.25/12,256.88 = 12,256.88/x
  3. Step 3: Cross multiply
    9,143.25x = 12,256.88 × 12,256.88
  4. Step 4: Simplify right side
    9,143.25x = 150,230,984.77
  5. Step 5: Solve for x
    x = 150,230,984.77/9,143.25
  6. Step 6: Final answer
    x = 16,430.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.