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Finding the Third Proportional to 1,471.92 and 3,091.92

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Solution

The third proportional to 1,471.92 and 3,091.92 is: 6,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.92 : 3,091.92 = 3,091.92 : x
  2. Step 2: Convert to fraction form
    1,471.92/3,091.92 = 3,091.92/x
  3. Step 3: Cross multiply
    1,471.92x = 3,091.92 × 3,091.92
  4. Step 4: Simplify right side
    1,471.92x = 9,559,980.88
  5. Step 5: Solve for x
    x = 9,559,980.88/1,471.92
  6. Step 6: Final answer
    x = 6,494.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.