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Finding the Third Proportional to 1,261 and 2,351

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Solution

The third proportional to 1,261 and 2,351 is: 4,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261 : 2,351 = 2,351 : x
  2. Step 2: Convert to fraction form
    1,261/2,351 = 2,351/x
  3. Step 3: Cross multiply
    1,261x = 2,351 × 2,351
  4. Step 4: Simplify right side
    1,261x = 5,527,201
  5. Step 5: Solve for x
    x = 5,527,201/1,261
  6. Step 6: Final answer
    x = 4,383.19

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.