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Finding the Third Proportional to 10,278 and 23,977

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Solution

The third proportional to 10,278 and 23,977 is: 55,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 23,977 = 23,977 : x
  2. Step 2: Convert to fraction form
    10,278/23,977 = 23,977/x
  3. Step 3: Cross multiply
    10,278x = 23,977 × 23,977
  4. Step 4: Simplify right side
    10,278x = 574,896,529
  5. Step 5: Solve for x
    x = 574,896,529/10,278
  6. Step 6: Final answer
    x = 55,934.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.