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Finding the Third Proportional to 15,419 and 33,239

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Solution

The third proportional to 15,419 and 33,239 is: 71,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 33,239 = 33,239 : x
  2. Step 2: Convert to fraction form
    15,419/33,239 = 33,239/x
  3. Step 3: Cross multiply
    15,419x = 33,239 × 33,239
  4. Step 4: Simplify right side
    15,419x = 1,104,831,121
  5. Step 5: Solve for x
    x = 1,104,831,121/15,419
  6. Step 6: Final answer
    x = 71,653.88

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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.