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Finding the Third Proportional to 16,064 and 24,322

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Solution

The third proportional to 16,064 and 24,322 is: 36,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064 : 24,322 = 24,322 : x
  2. Step 2: Convert to fraction form
    16,064/24,322 = 24,322/x
  3. Step 3: Cross multiply
    16,064x = 24,322 × 24,322
  4. Step 4: Simplify right side
    16,064x = 591,559,684
  5. Step 5: Solve for x
    x = 591,559,684/16,064
  6. Step 6: Final answer
    x = 36,825.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.