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Finding the Third Proportional to 4,316 and 6,014

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Solution

The third proportional to 4,316 and 6,014 is: 8,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316 : 6,014 = 6,014 : x
  2. Step 2: Convert to fraction form
    4,316/6,014 = 6,014/x
  3. Step 3: Cross multiply
    4,316x = 6,014 × 6,014
  4. Step 4: Simplify right side
    4,316x = 36,168,196
  5. Step 5: Solve for x
    x = 36,168,196/4,316
  6. Step 6: Final answer
    x = 8,380.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.