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Finding the Third Proportional to 23,226 and 35,385

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Solution

The third proportional to 23,226 and 35,385 is: 53,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226 : 35,385 = 35,385 : x
  2. Step 2: Convert to fraction form
    23,226/35,385 = 35,385/x
  3. Step 3: Cross multiply
    23,226x = 35,385 × 35,385
  4. Step 4: Simplify right side
    23,226x = 1,252,098,225
  5. Step 5: Solve for x
    x = 1,252,098,225/23,226
  6. Step 6: Final answer
    x = 53,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.