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Finding the Third Proportional to 19,214 and 29,404

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Solution

The third proportional to 19,214 and 29,404 is: 44,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214 : 29,404 = 29,404 : x
  2. Step 2: Convert to fraction form
    19,214/29,404 = 29,404/x
  3. Step 3: Cross multiply
    19,214x = 29,404 × 29,404
  4. Step 4: Simplify right side
    19,214x = 864,595,216
  5. Step 5: Solve for x
    x = 864,595,216/19,214
  6. Step 6: Final answer
    x = 44,998.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.