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Finding the Third Proportional to 9,977 and 20,987

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Solution

The third proportional to 9,977 and 20,987 is: 44,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977 : 20,987 = 20,987 : x
  2. Step 2: Convert to fraction form
    9,977/20,987 = 20,987/x
  3. Step 3: Cross multiply
    9,977x = 20,987 × 20,987
  4. Step 4: Simplify right side
    9,977x = 440,454,169
  5. Step 5: Solve for x
    x = 440,454,169/9,977
  6. Step 6: Final answer
    x = 44,146.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.