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Finding the Third Proportional to 36,306 and 49,274

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Solution

The third proportional to 36,306 and 49,274 is: 66,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,306 : 49,274 = 49,274 : x
  2. Step 2: Convert to fraction form
    36,306/49,274 = 49,274/x
  3. Step 3: Cross multiply
    36,306x = 49,274 × 49,274
  4. Step 4: Simplify right side
    36,306x = 2,427,927,076
  5. Step 5: Solve for x
    x = 2,427,927,076/36,306
  6. Step 6: Final answer
    x = 66,873.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.