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Finding the Third Proportional to 1,771.03 and 4,117.92

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Solution

The third proportional to 1,771.03 and 4,117.92 is: 9,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.03 : 4,117.92 = 4,117.92 : x
  2. Step 2: Convert to fraction form
    1,771.03/4,117.92 = 4,117.92/x
  3. Step 3: Cross multiply
    1,771.03x = 4,117.92 × 4,117.92
  4. Step 4: Simplify right side
    1,771.03x = 16,957,280.57
  5. Step 5: Solve for x
    x = 16,957,280.57/1,771.03
  6. Step 6: Final answer
    x = 9,574.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.