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Finding the Third Proportional to 3,144.66 and 4,853.67

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Solution

The third proportional to 3,144.66 and 4,853.67 is: 7,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.66 : 4,853.67 = 4,853.67 : x
  2. Step 2: Convert to fraction form
    3,144.66/4,853.67 = 4,853.67/x
  3. Step 3: Cross multiply
    3,144.66x = 4,853.67 × 4,853.67
  4. Step 4: Simplify right side
    3,144.66x = 23,558,130.67
  5. Step 5: Solve for x
    x = 23,558,130.67/3,144.66
  6. Step 6: Final answer
    x = 7,491.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.