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Finding the Third Proportional to 14,636 and 21,404

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Solution

The third proportional to 14,636 and 21,404 is: 31,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636 : 21,404 = 21,404 : x
  2. Step 2: Convert to fraction form
    14,636/21,404 = 21,404/x
  3. Step 3: Cross multiply
    14,636x = 21,404 × 21,404
  4. Step 4: Simplify right side
    14,636x = 458,131,216
  5. Step 5: Solve for x
    x = 458,131,216/14,636
  6. Step 6: Final answer
    x = 31,301.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.