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Finding the Third Proportional to 4,714 and 5,767

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Solution

The third proportional to 4,714 and 5,767 is: 7,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 5,767 = 5,767 : x
  2. Step 2: Convert to fraction form
    4,714/5,767 = 5,767/x
  3. Step 3: Cross multiply
    4,714x = 5,767 × 5,767
  4. Step 4: Simplify right side
    4,714x = 33,258,289
  5. Step 5: Solve for x
    x = 33,258,289/4,714
  6. Step 6: Final answer
    x = 7,055.22

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.