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Finding the Third Proportional to 12,405 and 29,278

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Solution

The third proportional to 12,405 and 29,278 is: 69,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 29,278 = 29,278 : x
  2. Step 2: Convert to fraction form
    12,405/29,278 = 29,278/x
  3. Step 3: Cross multiply
    12,405x = 29,278 × 29,278
  4. Step 4: Simplify right side
    12,405x = 857,201,284
  5. Step 5: Solve for x
    x = 857,201,284/12,405
  6. Step 6: Final answer
    x = 69,101.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.