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Finding the Third Proportional to 22,634 and 40,408

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Solution

The third proportional to 22,634 and 40,408 is: 72,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634 : 40,408 = 40,408 : x
  2. Step 2: Convert to fraction form
    22,634/40,408 = 40,408/x
  3. Step 3: Cross multiply
    22,634x = 40,408 × 40,408
  4. Step 4: Simplify right side
    22,634x = 1,632,806,464
  5. Step 5: Solve for x
    x = 1,632,806,464/22,634
  6. Step 6: Final answer
    x = 72,139.55

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.