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Finding the Third Proportional to 3,112 and 4,772

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Solution

The third proportional to 3,112 and 4,772 is: 7,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 4,772 = 4,772 : x
  2. Step 2: Convert to fraction form
    3,112/4,772 = 4,772/x
  3. Step 3: Cross multiply
    3,112x = 4,772 × 4,772
  4. Step 4: Simplify right side
    3,112x = 22,771,984
  5. Step 5: Solve for x
    x = 22,771,984/3,112
  6. Step 6: Final answer
    x = 7,317.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.