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Finding the Third Proportional to 14,364 and 23,049

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Solution

The third proportional to 14,364 and 23,049 is: 36,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 23,049 = 23,049 : x
  2. Step 2: Convert to fraction form
    14,364/23,049 = 23,049/x
  3. Step 3: Cross multiply
    14,364x = 23,049 × 23,049
  4. Step 4: Simplify right side
    14,364x = 531,256,401
  5. Step 5: Solve for x
    x = 531,256,401/14,364
  6. Step 6: Final answer
    x = 36,985.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.