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Finding the Third Proportional to 4,977 and 10,827

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Solution

The third proportional to 4,977 and 10,827 is: 23,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 10,827 = 10,827 : x
  2. Step 2: Convert to fraction form
    4,977/10,827 = 10,827/x
  3. Step 3: Cross multiply
    4,977x = 10,827 × 10,827
  4. Step 4: Simplify right side
    4,977x = 117,223,929
  5. Step 5: Solve for x
    x = 117,223,929/4,977
  6. Step 6: Final answer
    x = 23,553.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.