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Finding the Third Proportional to 13,182 and 23,438

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Solution

The third proportional to 13,182 and 23,438 is: 41,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 23,438 = 23,438 : x
  2. Step 2: Convert to fraction form
    13,182/23,438 = 23,438/x
  3. Step 3: Cross multiply
    13,182x = 23,438 × 23,438
  4. Step 4: Simplify right side
    13,182x = 549,339,844
  5. Step 5: Solve for x
    x = 549,339,844/13,182
  6. Step 6: Final answer
    x = 41,673.48

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.