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Finding the Third Proportional to 4,615 and 5,191

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Solution

The third proportional to 4,615 and 5,191 is: 5,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615 : 5,191 = 5,191 : x
  2. Step 2: Convert to fraction form
    4,615/5,191 = 5,191/x
  3. Step 3: Cross multiply
    4,615x = 5,191 × 5,191
  4. Step 4: Simplify right side
    4,615x = 26,946,481
  5. Step 5: Solve for x
    x = 26,946,481/4,615
  6. Step 6: Final answer
    x = 5,838.89

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.