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Finding the Third Proportional to 6,143.82 and 10,586.16

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Solution

The third proportional to 6,143.82 and 10,586.16 is: 18,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.82 : 10,586.16 = 10,586.16 : x
  2. Step 2: Convert to fraction form
    6,143.82/10,586.16 = 10,586.16/x
  3. Step 3: Cross multiply
    6,143.82x = 10,586.16 × 10,586.16
  4. Step 4: Simplify right side
    6,143.82x = 112,066,828.21
  5. Step 5: Solve for x
    x = 112,066,828.21/6,143.82
  6. Step 6: Final answer
    x = 18,240.58

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.