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Finding the Third Proportional to 22,544 and 32,468

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Solution

The third proportional to 22,544 and 32,468 is: 46,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544 : 32,468 = 32,468 : x
  2. Step 2: Convert to fraction form
    22,544/32,468 = 32,468/x
  3. Step 3: Cross multiply
    22,544x = 32,468 × 32,468
  4. Step 4: Simplify right side
    22,544x = 1,054,171,024
  5. Step 5: Solve for x
    x = 1,054,171,024/22,544
  6. Step 6: Final answer
    x = 46,760.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.