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Finding the Third Proportional to 20,898 and 31,335

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Solution

The third proportional to 20,898 and 31,335 is: 46,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 31,335 = 31,335 : x
  2. Step 2: Convert to fraction form
    20,898/31,335 = 31,335/x
  3. Step 3: Cross multiply
    20,898x = 31,335 × 31,335
  4. Step 4: Simplify right side
    20,898x = 981,882,225
  5. Step 5: Solve for x
    x = 981,882,225/20,898
  6. Step 6: Final answer
    x = 46,984.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.