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Finding the Third Proportional to 18,408 and 39,754

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Solution

The third proportional to 18,408 and 39,754 is: 85,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,408 : 39,754 = 39,754 : x
  2. Step 2: Convert to fraction form
    18,408/39,754 = 39,754/x
  3. Step 3: Cross multiply
    18,408x = 39,754 × 39,754
  4. Step 4: Simplify right side
    18,408x = 1,580,380,516
  5. Step 5: Solve for x
    x = 1,580,380,516/18,408
  6. Step 6: Final answer
    x = 85,852.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.