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Finding the Third Proportional to 5,180.63 and 10,977.75

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Solution

The third proportional to 5,180.63 and 10,977.75 is: 23,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.63 : 10,977.75 = 10,977.75 : x
  2. Step 2: Convert to fraction form
    5,180.63/10,977.75 = 10,977.75/x
  3. Step 3: Cross multiply
    5,180.63x = 10,977.75 × 10,977.75
  4. Step 4: Simplify right side
    5,180.63x = 120,510,995.06
  5. Step 5: Solve for x
    x = 120,510,995.06/5,180.63
  6. Step 6: Final answer
    x = 23,261.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.