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Finding the Third Proportional to 971.81 and 1,362.75

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Solution

The third proportional to 971.81 and 1,362.75 is: 1,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.81 : 1,362.75 = 1,362.75 : x
  2. Step 2: Convert to fraction form
    971.81/1,362.75 = 1,362.75/x
  3. Step 3: Cross multiply
    971.81x = 1,362.75 × 1,362.75
  4. Step 4: Simplify right side
    971.81x = 1,857,087.56
  5. Step 5: Solve for x
    x = 1,857,087.56/971.81
  6. Step 6: Final answer
    x = 1,910.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.