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Finding the Third Proportional to 1,266.19 and 2,721.38

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Solution

The third proportional to 1,266.19 and 2,721.38 is: 5,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.19 : 2,721.38 = 2,721.38 : x
  2. Step 2: Convert to fraction form
    1,266.19/2,721.38 = 2,721.38/x
  3. Step 3: Cross multiply
    1,266.19x = 2,721.38 × 2,721.38
  4. Step 4: Simplify right side
    1,266.19x = 7,405,881.89
  5. Step 5: Solve for x
    x = 7,405,881.89/1,266.19
  6. Step 6: Final answer
    x = 5,848.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.