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Finding the Third Proportional to 5,896.13 and 12,678.19

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Solution

The third proportional to 5,896.13 and 12,678.19 is: 27,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.13 : 12,678.19 = 12,678.19 : x
  2. Step 2: Convert to fraction form
    5,896.13/12,678.19 = 12,678.19/x
  3. Step 3: Cross multiply
    5,896.13x = 12,678.19 × 12,678.19
  4. Step 4: Simplify right side
    5,896.13x = 160,736,438.29
  5. Step 5: Solve for x
    x = 160,736,438.29/5,896.13
  6. Step 6: Final answer
    x = 27,261.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.