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Finding the Third Proportional to 23,814 and 52,335

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Solution

The third proportional to 23,814 and 52,335 is: 115,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 52,335 = 52,335 : x
  2. Step 2: Convert to fraction form
    23,814/52,335 = 52,335/x
  3. Step 3: Cross multiply
    23,814x = 52,335 × 52,335
  4. Step 4: Simplify right side
    23,814x = 2,738,952,225
  5. Step 5: Solve for x
    x = 2,738,952,225/23,814
  6. Step 6: Final answer
    x = 115,014.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.