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Finding the Third Proportional to 4,786 and 7,247

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Solution

The third proportional to 4,786 and 7,247 is: 10,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 7,247 = 7,247 : x
  2. Step 2: Convert to fraction form
    4,786/7,247 = 7,247/x
  3. Step 3: Cross multiply
    4,786x = 7,247 × 7,247
  4. Step 4: Simplify right side
    4,786x = 52,519,009
  5. Step 5: Solve for x
    x = 52,519,009/4,786
  6. Step 6: Final answer
    x = 10,973.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.