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Finding the Third Proportional to 4,288 and 4,738

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Solution

The third proportional to 4,288 and 4,738 is: 5,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288 : 4,738 = 4,738 : x
  2. Step 2: Convert to fraction form
    4,288/4,738 = 4,738/x
  3. Step 3: Cross multiply
    4,288x = 4,738 × 4,738
  4. Step 4: Simplify right side
    4,288x = 22,448,644
  5. Step 5: Solve for x
    x = 22,448,644/4,288
  6. Step 6: Final answer
    x = 5,235.22

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