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Finding the Third Proportional to 11,636.30 and 24,912.84

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Solution

The third proportional to 11,636.30 and 24,912.84 is: 53,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.30 : 24,912.84 = 24,912.84 : x
  2. Step 2: Convert to fraction form
    11,636.30/24,912.84 = 24,912.84/x
  3. Step 3: Cross multiply
    11,636.30x = 24,912.84 × 24,912.84
  4. Step 4: Simplify right side
    11,636.30x = 620,649,783.71
  5. Step 5: Solve for x
    x = 620,649,783.71/11,636.30
  6. Step 6: Final answer
    x = 53,337.40

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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.