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Finding the Third Proportional to 963.25 and 1,442.63

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Solution

The third proportional to 963.25 and 1,442.63 is: 2,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.25 : 1,442.63 = 1,442.63 : x
  2. Step 2: Convert to fraction form
    963.25/1,442.63 = 1,442.63/x
  3. Step 3: Cross multiply
    963.25x = 1,442.63 × 1,442.63
  4. Step 4: Simplify right side
    963.25x = 2,081,166.89
  5. Step 5: Solve for x
    x = 2,081,166.89/963.25
  6. Step 6: Final answer
    x = 2,160.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.