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Finding the Third Proportional to 30,207 and 49,923

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Solution

The third proportional to 30,207 and 49,923 is: 82,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207 : 49,923 = 49,923 : x
  2. Step 2: Convert to fraction form
    30,207/49,923 = 49,923/x
  3. Step 3: Cross multiply
    30,207x = 49,923 × 49,923
  4. Step 4: Simplify right side
    30,207x = 2,492,305,929
  5. Step 5: Solve for x
    x = 2,492,305,929/30,207
  6. Step 6: Final answer
    x = 82,507.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.