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Finding the Third Proportional to 15,450 and 33,361

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Solution

The third proportional to 15,450 and 33,361 is: 72,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,450 : 33,361 = 33,361 : x
  2. Step 2: Convert to fraction form
    15,450/33,361 = 33,361/x
  3. Step 3: Cross multiply
    15,450x = 33,361 × 33,361
  4. Step 4: Simplify right side
    15,450x = 1,112,956,321
  5. Step 5: Solve for x
    x = 1,112,956,321/15,450
  6. Step 6: Final answer
    x = 72,036.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.