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Finding the Third Proportional to 13,173 and 23,422.13

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Solution

The third proportional to 13,173 and 23,422.13 is: 41,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173 : 23,422.13 = 23,422.13 : x
  2. Step 2: Convert to fraction form
    13,173/23,422.13 = 23,422.13/x
  3. Step 3: Cross multiply
    13,173x = 23,422.13 × 23,422.13
  4. Step 4: Simplify right side
    13,173x = 548,595,939.52
  5. Step 5: Solve for x
    x = 548,595,939.52/13,173
  6. Step 6: Final answer
    x = 41,645.48

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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.