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Finding the Third Proportional to 4,714 and 7,356

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Solution

The third proportional to 4,714 and 7,356 is: 11,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 7,356 = 7,356 : x
  2. Step 2: Convert to fraction form
    4,714/7,356 = 7,356/x
  3. Step 3: Cross multiply
    4,714x = 7,356 × 7,356
  4. Step 4: Simplify right side
    4,714x = 54,110,736
  5. Step 5: Solve for x
    x = 54,110,736/4,714
  6. Step 6: Final answer
    x = 11,478.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.