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Finding the Third Proportional to 19,505 and 29,451

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Solution

The third proportional to 19,505 and 29,451 is: 44,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505 : 29,451 = 29,451 : x
  2. Step 2: Convert to fraction form
    19,505/29,451 = 29,451/x
  3. Step 3: Cross multiply
    19,505x = 29,451 × 29,451
  4. Step 4: Simplify right side
    19,505x = 867,361,401
  5. Step 5: Solve for x
    x = 867,361,401/19,505
  6. Step 6: Final answer
    x = 44,468.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.