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Finding the Third Proportional to 16,024 and 21,434

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Solution

The third proportional to 16,024 and 21,434 is: 28,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024 : 21,434 = 21,434 : x
  2. Step 2: Convert to fraction form
    16,024/21,434 = 21,434/x
  3. Step 3: Cross multiply
    16,024x = 21,434 × 21,434
  4. Step 4: Simplify right side
    16,024x = 459,416,356
  5. Step 5: Solve for x
    x = 459,416,356/16,024
  6. Step 6: Final answer
    x = 28,670.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.