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Finding the Third Proportional to 16,126 and 23,228

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Solution

The third proportional to 16,126 and 23,228 is: 33,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126 : 23,228 = 23,228 : x
  2. Step 2: Convert to fraction form
    16,126/23,228 = 23,228/x
  3. Step 3: Cross multiply
    16,126x = 23,228 × 23,228
  4. Step 4: Simplify right side
    16,126x = 539,539,984
  5. Step 5: Solve for x
    x = 539,539,984/16,126
  6. Step 6: Final answer
    x = 33,457.77

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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.