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Finding the Third Proportional to 11,745 and 24,465

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Solution

The third proportional to 11,745 and 24,465 is: 50,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 24,465 = 24,465 : x
  2. Step 2: Convert to fraction form
    11,745/24,465 = 24,465/x
  3. Step 3: Cross multiply
    11,745x = 24,465 × 24,465
  4. Step 4: Simplify right side
    11,745x = 598,536,225
  5. Step 5: Solve for x
    x = 598,536,225/11,745
  6. Step 6: Final answer
    x = 50,960.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.