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Finding the Third Proportional to 959.91 and 1,534.78

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Solution

The third proportional to 959.91 and 1,534.78 is: 2,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.91 : 1,534.78 = 1,534.78 : x
  2. Step 2: Convert to fraction form
    959.91/1,534.78 = 1,534.78/x
  3. Step 3: Cross multiply
    959.91x = 1,534.78 × 1,534.78
  4. Step 4: Simplify right side
    959.91x = 2,355,553.49
  5. Step 5: Solve for x
    x = 2,355,553.49/959.91
  6. Step 6: Final answer
    x = 2,453.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.