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Finding the Third Proportional to 10,132 and 18,296

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Solution

The third proportional to 10,132 and 18,296 is: 33,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132 : 18,296 = 18,296 : x
  2. Step 2: Convert to fraction form
    10,132/18,296 = 18,296/x
  3. Step 3: Cross multiply
    10,132x = 18,296 × 18,296
  4. Step 4: Simplify right side
    10,132x = 334,743,616
  5. Step 5: Solve for x
    x = 334,743,616/10,132
  6. Step 6: Final answer
    x = 33,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.