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Finding the Third Proportional to 4,772 and 5,222

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Solution

The third proportional to 4,772 and 5,222 is: 5,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772 : 5,222 = 5,222 : x
  2. Step 2: Convert to fraction form
    4,772/5,222 = 5,222/x
  3. Step 3: Cross multiply
    4,772x = 5,222 × 5,222
  4. Step 4: Simplify right side
    4,772x = 27,269,284
  5. Step 5: Solve for x
    x = 27,269,284/4,772
  6. Step 6: Final answer
    x = 5,714.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.