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Finding the Third Proportional to 23,305 and 36,354

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Solution

The third proportional to 23,305 and 36,354 is: 56,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305 : 36,354 = 36,354 : x
  2. Step 2: Convert to fraction form
    23,305/36,354 = 36,354/x
  3. Step 3: Cross multiply
    23,305x = 36,354 × 36,354
  4. Step 4: Simplify right side
    23,305x = 1,321,613,316
  5. Step 5: Solve for x
    x = 1,321,613,316/23,305
  6. Step 6: Final answer
    x = 56,709.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.