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Finding the Third Proportional to 10,655 and 19,977

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Solution

The third proportional to 10,655 and 19,977 is: 37,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655 : 19,977 = 19,977 : x
  2. Step 2: Convert to fraction form
    10,655/19,977 = 19,977/x
  3. Step 3: Cross multiply
    10,655x = 19,977 × 19,977
  4. Step 4: Simplify right side
    10,655x = 399,080,529
  5. Step 5: Solve for x
    x = 399,080,529/10,655
  6. Step 6: Final answer
    x = 37,454.77

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.