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Finding the Third Proportional to 15,322 and 33,073

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Solution

The third proportional to 15,322 and 33,073 is: 71,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322 : 33,073 = 33,073 : x
  2. Step 2: Convert to fraction form
    15,322/33,073 = 33,073/x
  3. Step 3: Cross multiply
    15,322x = 33,073 × 33,073
  4. Step 4: Simplify right side
    15,322x = 1,093,823,329
  5. Step 5: Solve for x
    x = 1,093,823,329/15,322
  6. Step 6: Final answer
    x = 71,389.07

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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.