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Finding the Third Proportional to 956.68 and 1,477.67

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Solution

The third proportional to 956.68 and 1,477.67 is: 2,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.68 : 1,477.67 = 1,477.67 : x
  2. Step 2: Convert to fraction form
    956.68/1,477.67 = 1,477.67/x
  3. Step 3: Cross multiply
    956.68x = 1,477.67 × 1,477.67
  4. Step 4: Simplify right side
    956.68x = 2,183,498.66
  5. Step 5: Solve for x
    x = 2,183,498.66/956.68
  6. Step 6: Final answer
    x = 2,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.