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Finding the Third Proportional to 29,953 and 49,922

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Solution

The third proportional to 29,953 and 49,922 is: 83,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953 : 49,922 = 49,922 : x
  2. Step 2: Convert to fraction form
    29,953/49,922 = 49,922/x
  3. Step 3: Cross multiply
    29,953x = 49,922 × 49,922
  4. Step 4: Simplify right side
    29,953x = 2,492,206,084
  5. Step 5: Solve for x
    x = 2,492,206,084/29,953
  6. Step 6: Final answer
    x = 83,203.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.