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Finding the Third Proportional to 13,671.75 and 29,477.63

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Solution

The third proportional to 13,671.75 and 29,477.63 is: 63,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.75 : 29,477.63 = 29,477.63 : x
  2. Step 2: Convert to fraction form
    13,671.75/29,477.63 = 29,477.63/x
  3. Step 3: Cross multiply
    13,671.75x = 29,477.63 × 29,477.63
  4. Step 4: Simplify right side
    13,671.75x = 868,930,375.64
  5. Step 5: Solve for x
    x = 868,930,375.64/13,671.75
  6. Step 6: Final answer
    x = 63,556.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.