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Finding the Third Proportional to 959.63 and 1,369.69

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Solution

The third proportional to 959.63 and 1,369.69 is: 1,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.63 : 1,369.69 = 1,369.69 : x
  2. Step 2: Convert to fraction form
    959.63/1,369.69 = 1,369.69/x
  3. Step 3: Cross multiply
    959.63x = 1,369.69 × 1,369.69
  4. Step 4: Simplify right side
    959.63x = 1,876,043.85
  5. Step 5: Solve for x
    x = 1,876,043.85/959.63
  6. Step 6: Final answer
    x = 1,954.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.