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Finding the Third Proportional to 5,979.75 and 13,095

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Solution

The third proportional to 5,979.75 and 13,095 is: 28,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.75 : 13,095 = 13,095 : x
  2. Step 2: Convert to fraction form
    5,979.75/13,095 = 13,095/x
  3. Step 3: Cross multiply
    5,979.75x = 13,095 × 13,095
  4. Step 4: Simplify right side
    5,979.75x = 171,479,025
  5. Step 5: Solve for x
    x = 171,479,025/5,979.75
  6. Step 6: Final answer
    x = 28,676.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.