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Finding the Third Proportional to 19,977 and 31,335

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Solution

The third proportional to 19,977 and 31,335 is: 49,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 31,335 = 31,335 : x
  2. Step 2: Convert to fraction form
    19,977/31,335 = 31,335/x
  3. Step 3: Cross multiply
    19,977x = 31,335 × 31,335
  4. Step 4: Simplify right side
    19,977x = 981,882,225
  5. Step 5: Solve for x
    x = 981,882,225/19,977
  6. Step 6: Final answer
    x = 49,150.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.