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Finding the Third Proportional to 23,477 and 32,191

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Solution

The third proportional to 23,477 and 32,191 is: 44,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477 : 32,191 = 32,191 : x
  2. Step 2: Convert to fraction form
    23,477/32,191 = 32,191/x
  3. Step 3: Cross multiply
    23,477x = 32,191 × 32,191
  4. Step 4: Simplify right side
    23,477x = 1,036,260,481
  5. Step 5: Solve for x
    x = 1,036,260,481/23,477
  6. Step 6: Final answer
    x = 44,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.