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Finding the Third Proportional to 1,261 and 1,924

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Solution

The third proportional to 1,261 and 1,924 is: 2,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261 : 1,924 = 1,924 : x
  2. Step 2: Convert to fraction form
    1,261/1,924 = 1,924/x
  3. Step 3: Cross multiply
    1,261x = 1,924 × 1,924
  4. Step 4: Simplify right side
    1,261x = 3,701,776
  5. Step 5: Solve for x
    x = 3,701,776/1,261
  6. Step 6: Final answer
    x = 2,935.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.