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Finding the Third Proportional to 4,294 and 5,182

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Solution

The third proportional to 4,294 and 5,182 is: 6,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294 : 5,182 = 5,182 : x
  2. Step 2: Convert to fraction form
    4,294/5,182 = 5,182/x
  3. Step 3: Cross multiply
    4,294x = 5,182 × 5,182
  4. Step 4: Simplify right side
    4,294x = 26,853,124
  5. Step 5: Solve for x
    x = 26,853,124/4,294
  6. Step 6: Final answer
    x = 6,253.64

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.