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Finding the Third Proportional to 33,654 and 49,257

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Solution

The third proportional to 33,654 and 49,257 is: 72,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,654 : 49,257 = 49,257 : x
  2. Step 2: Convert to fraction form
    33,654/49,257 = 49,257/x
  3. Step 3: Cross multiply
    33,654x = 49,257 × 49,257
  4. Step 4: Simplify right side
    33,654x = 2,426,252,049
  5. Step 5: Solve for x
    x = 2,426,252,049/33,654
  6. Step 6: Final answer
    x = 72,094.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.