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Finding the Third Proportional to 2,566.69 and 6,085.97

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Solution

The third proportional to 2,566.69 and 6,085.97 is: 14,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.69 : 6,085.97 = 6,085.97 : x
  2. Step 2: Convert to fraction form
    2,566.69/6,085.97 = 6,085.97/x
  3. Step 3: Cross multiply
    2,566.69x = 6,085.97 × 6,085.97
  4. Step 4: Simplify right side
    2,566.69x = 37,039,015.63
  5. Step 5: Solve for x
    x = 37,039,015.63/2,566.69
  6. Step 6: Final answer
    x = 14,430.67

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.