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Finding the Third Proportional to 11,580 and 24,812

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Solution

The third proportional to 11,580 and 24,812 is: 53,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 24,812 = 24,812 : x
  2. Step 2: Convert to fraction form
    11,580/24,812 = 24,812/x
  3. Step 3: Cross multiply
    11,580x = 24,812 × 24,812
  4. Step 4: Simplify right side
    11,580x = 615,635,344
  5. Step 5: Solve for x
    x = 615,635,344/11,580
  6. Step 6: Final answer
    x = 53,163.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.