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Finding the Third Proportional to 14,236 and 22,635

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Solution

The third proportional to 14,236 and 22,635 is: 35,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236 : 22,635 = 22,635 : x
  2. Step 2: Convert to fraction form
    14,236/22,635 = 22,635/x
  3. Step 3: Cross multiply
    14,236x = 22,635 × 22,635
  4. Step 4: Simplify right side
    14,236x = 512,343,225
  5. Step 5: Solve for x
    x = 512,343,225/14,236
  6. Step 6: Final answer
    x = 35,989.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.