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Finding the Third Proportional to 13,404 and 29,454

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Solution

The third proportional to 13,404 and 29,454 is: 64,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404 : 29,454 = 29,454 : x
  2. Step 2: Convert to fraction form
    13,404/29,454 = 29,454/x
  3. Step 3: Cross multiply
    13,404x = 29,454 × 29,454
  4. Step 4: Simplify right side
    13,404x = 867,538,116
  5. Step 5: Solve for x
    x = 867,538,116/13,404
  6. Step 6: Final answer
    x = 64,722.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.