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Finding the Third Proportional to 14,350 and 23,714

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Solution

The third proportional to 14,350 and 23,714 is: 39,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350 : 23,714 = 23,714 : x
  2. Step 2: Convert to fraction form
    14,350/23,714 = 23,714/x
  3. Step 3: Cross multiply
    14,350x = 23,714 × 23,714
  4. Step 4: Simplify right side
    14,350x = 562,353,796
  5. Step 5: Solve for x
    x = 562,353,796/14,350
  6. Step 6: Final answer
    x = 39,188.42

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.