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Finding the Third Proportional to 3,046 and 4,232

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Solution

The third proportional to 3,046 and 4,232 is: 5,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,232 = 4,232 : x
  2. Step 2: Convert to fraction form
    3,046/4,232 = 4,232/x
  3. Step 3: Cross multiply
    3,046x = 4,232 × 4,232
  4. Step 4: Simplify right side
    3,046x = 17,909,824
  5. Step 5: Solve for x
    x = 17,909,824/3,046
  6. Step 6: Final answer
    x = 5,879.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.