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Finding the Third Proportional to 4,176 and 4,716

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Solution

The third proportional to 4,176 and 4,716 is: 5,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 4,716 = 4,716 : x
  2. Step 2: Convert to fraction form
    4,176/4,716 = 4,716/x
  3. Step 3: Cross multiply
    4,176x = 4,716 × 4,716
  4. Step 4: Simplify right side
    4,176x = 22,240,656
  5. Step 5: Solve for x
    x = 22,240,656/4,176
  6. Step 6: Final answer
    x = 5,325.83

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.