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Finding the Third Proportional to 958.92 and 1,776.52

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Solution

The third proportional to 958.92 and 1,776.52 is: 3,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.92 : 1,776.52 = 1,776.52 : x
  2. Step 2: Convert to fraction form
    958.92/1,776.52 = 1,776.52/x
  3. Step 3: Cross multiply
    958.92x = 1,776.52 × 1,776.52
  4. Step 4: Simplify right side
    958.92x = 3,156,007.77
  5. Step 5: Solve for x
    x = 3,156,007.77/958.92
  6. Step 6: Final answer
    x = 3,291.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.