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Finding the Third Proportional to 16,430 and 22,485

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Solution

The third proportional to 16,430 and 22,485 is: 30,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430 : 22,485 = 22,485 : x
  2. Step 2: Convert to fraction form
    16,430/22,485 = 22,485/x
  3. Step 3: Cross multiply
    16,430x = 22,485 × 22,485
  4. Step 4: Simplify right side
    16,430x = 505,575,225
  5. Step 5: Solve for x
    x = 505,575,225/16,430
  6. Step 6: Final answer
    x = 30,771.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.