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Finding the Third Proportional to 965.67 and 1,442.81

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Solution

The third proportional to 965.67 and 1,442.81 is: 2,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.67 : 1,442.81 = 1,442.81 : x
  2. Step 2: Convert to fraction form
    965.67/1,442.81 = 1,442.81/x
  3. Step 3: Cross multiply
    965.67x = 1,442.81 × 1,442.81
  4. Step 4: Simplify right side
    965.67x = 2,081,707.91
  5. Step 5: Solve for x
    x = 2,081,707.91/965.67
  6. Step 6: Final answer
    x = 2,155.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.