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Finding the Third Proportional to 8,230 and 11,760.63

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Solution

The third proportional to 8,230 and 11,760.63 is: 16,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230 : 11,760.63 = 11,760.63 : x
  2. Step 2: Convert to fraction form
    8,230/11,760.63 = 11,760.63/x
  3. Step 3: Cross multiply
    8,230x = 11,760.63 × 11,760.63
  4. Step 4: Simplify right side
    8,230x = 138,312,300.39
  5. Step 5: Solve for x
    x = 138,312,300.39/8,230
  6. Step 6: Final answer
    x = 16,805.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.