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Finding the Third Proportional to 5,887.69 and 12,678.19

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Solution

The third proportional to 5,887.69 and 12,678.19 is: 27,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.69 : 12,678.19 = 12,678.19 : x
  2. Step 2: Convert to fraction form
    5,887.69/12,678.19 = 12,678.19/x
  3. Step 3: Cross multiply
    5,887.69x = 12,678.19 × 12,678.19
  4. Step 4: Simplify right side
    5,887.69x = 160,736,438.29
  5. Step 5: Solve for x
    x = 160,736,438.29/5,887.69
  6. Step 6: Final answer
    x = 27,300.44

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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.