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Finding the Third Proportional to 15,268 and 33,488

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Solution

The third proportional to 15,268 and 33,488 is: 73,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268 : 33,488 = 33,488 : x
  2. Step 2: Convert to fraction form
    15,268/33,488 = 33,488/x
  3. Step 3: Cross multiply
    15,268x = 33,488 × 33,488
  4. Step 4: Simplify right side
    15,268x = 1,121,446,144
  5. Step 5: Solve for x
    x = 1,121,446,144/15,268
  6. Step 6: Final answer
    x = 73,450.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.