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Finding the Third Proportional to 10,977 and 24,193.50

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Solution

The third proportional to 10,977 and 24,193.50 is: 53,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 24,193.50 = 24,193.50 : x
  2. Step 2: Convert to fraction form
    10,977/24,193.50 = 24,193.50/x
  3. Step 3: Cross multiply
    10,977x = 24,193.50 × 24,193.50
  4. Step 4: Simplify right side
    10,977x = 585,325,442.25
  5. Step 5: Solve for x
    x = 585,325,442.25/10,977
  6. Step 6: Final answer
    x = 53,322.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.