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Finding the Third Proportional to 21,296 and 32,518

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Solution

The third proportional to 21,296 and 32,518 is: 49,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296 : 32,518 = 32,518 : x
  2. Step 2: Convert to fraction form
    21,296/32,518 = 32,518/x
  3. Step 3: Cross multiply
    21,296x = 32,518 × 32,518
  4. Step 4: Simplify right side
    21,296x = 1,057,420,324
  5. Step 5: Solve for x
    x = 1,057,420,324/21,296
  6. Step 6: Final answer
    x = 49,653.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.