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Finding the Third Proportional to 15,028 and 16,228

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Solution

The third proportional to 15,028 and 16,228 is: 17,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,028 : 16,228 = 16,228 : x
  2. Step 2: Convert to fraction form
    15,028/16,228 = 16,228/x
  3. Step 3: Cross multiply
    15,028x = 16,228 × 16,228
  4. Step 4: Simplify right side
    15,028x = 263,347,984
  5. Step 5: Solve for x
    x = 263,347,984/15,028
  6. Step 6: Final answer
    x = 17,523.82

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.