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Finding the Third Proportional to 15,303 and 33,366

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Solution

The third proportional to 15,303 and 33,366 is: 72,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,303 : 33,366 = 33,366 : x
  2. Step 2: Convert to fraction form
    15,303/33,366 = 33,366/x
  3. Step 3: Cross multiply
    15,303x = 33,366 × 33,366
  4. Step 4: Simplify right side
    15,303x = 1,113,289,956
  5. Step 5: Solve for x
    x = 1,113,289,956/15,303
  6. Step 6: Final answer
    x = 72,749.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.