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Finding the Third Proportional to 13,706.25 and 29,925

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Solution

The third proportional to 13,706.25 and 29,925 is: 65,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.25 : 29,925 = 29,925 : x
  2. Step 2: Convert to fraction form
    13,706.25/29,925 = 29,925/x
  3. Step 3: Cross multiply
    13,706.25x = 29,925 × 29,925
  4. Step 4: Simplify right side
    13,706.25x = 895,505,625
  5. Step 5: Solve for x
    x = 895,505,625/13,706.25
  6. Step 6: Final answer
    x = 65,335.57

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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.