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Finding the Third Proportional to 936.98 and 1,374.89

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Solution

The third proportional to 936.98 and 1,374.89 is: 2,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.98 : 1,374.89 = 1,374.89 : x
  2. Step 2: Convert to fraction form
    936.98/1,374.89 = 1,374.89/x
  3. Step 3: Cross multiply
    936.98x = 1,374.89 × 1,374.89
  4. Step 4: Simplify right side
    936.98x = 1,890,324.23
  5. Step 5: Solve for x
    x = 1,890,324.23/936.98
  6. Step 6: Final answer
    x = 2,017.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.