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Finding the Third Proportional to 10,024 and 14,668

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Solution

The third proportional to 10,024 and 14,668 is: 21,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024 : 14,668 = 14,668 : x
  2. Step 2: Convert to fraction form
    10,024/14,668 = 14,668/x
  3. Step 3: Cross multiply
    10,024x = 14,668 × 14,668
  4. Step 4: Simplify right side
    10,024x = 215,150,224
  5. Step 5: Solve for x
    x = 215,150,224/10,024
  6. Step 6: Final answer
    x = 21,463.51

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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.