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Finding the Third Proportional to 4,249 and 4,694.50

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Solution

The third proportional to 4,249 and 4,694.50 is: 5,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249 : 4,694.50 = 4,694.50 : x
  2. Step 2: Convert to fraction form
    4,249/4,694.50 = 4,694.50/x
  3. Step 3: Cross multiply
    4,249x = 4,694.50 × 4,694.50
  4. Step 4: Simplify right side
    4,249x = 22,038,330.25
  5. Step 5: Solve for x
    x = 22,038,330.25/4,249
  6. Step 6: Final answer
    x = 5,186.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.