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Finding the Third Proportional to 4,652 and 11,042

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Solution

The third proportional to 4,652 and 11,042 is: 26,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 11,042 = 11,042 : x
  2. Step 2: Convert to fraction form
    4,652/11,042 = 11,042/x
  3. Step 3: Cross multiply
    4,652x = 11,042 × 11,042
  4. Step 4: Simplify right side
    4,652x = 121,925,764
  5. Step 5: Solve for x
    x = 121,925,764/4,652
  6. Step 6: Final answer
    x = 26,209.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.