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Finding the Third Proportional to 4,896 and 8,512

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Solution

The third proportional to 4,896 and 8,512 is: 14,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 8,512 = 8,512 : x
  2. Step 2: Convert to fraction form
    4,896/8,512 = 8,512/x
  3. Step 3: Cross multiply
    4,896x = 8,512 × 8,512
  4. Step 4: Simplify right side
    4,896x = 72,454,144
  5. Step 5: Solve for x
    x = 72,454,144/4,896
  6. Step 6: Final answer
    x = 14,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.