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Finding the Third Proportional to 13,878 and 29,652

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Solution

The third proportional to 13,878 and 29,652 is: 63,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 29,652 = 29,652 : x
  2. Step 2: Convert to fraction form
    13,878/29,652 = 29,652/x
  3. Step 3: Cross multiply
    13,878x = 29,652 × 29,652
  4. Step 4: Simplify right side
    13,878x = 879,241,104
  5. Step 5: Solve for x
    x = 879,241,104/13,878
  6. Step 6: Final answer
    x = 63,355.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.