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Finding the Third Proportional to 13,746 and 29,960

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Solution

The third proportional to 13,746 and 29,960 is: 65,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746 : 29,960 = 29,960 : x
  2. Step 2: Convert to fraction form
    13,746/29,960 = 29,960/x
  3. Step 3: Cross multiply
    13,746x = 29,960 × 29,960
  4. Step 4: Simplify right side
    13,746x = 897,601,600
  5. Step 5: Solve for x
    x = 897,601,600/13,746
  6. Step 6: Final answer
    x = 65,299.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.