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Finding the Third Proportional to 23,354 and 35,731

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Solution

The third proportional to 23,354 and 35,731 is: 54,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354 : 35,731 = 35,731 : x
  2. Step 2: Convert to fraction form
    23,354/35,731 = 35,731/x
  3. Step 3: Cross multiply
    23,354x = 35,731 × 35,731
  4. Step 4: Simplify right side
    23,354x = 1,276,704,361
  5. Step 5: Solve for x
    x = 1,276,704,361/23,354
  6. Step 6: Final answer
    x = 54,667.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.