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Finding the Third Proportional to 2,471.77 and 4,393.93

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Solution

The third proportional to 2,471.77 and 4,393.93 is: 7,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.77 : 4,393.93 = 4,393.93 : x
  2. Step 2: Convert to fraction form
    2,471.77/4,393.93 = 4,393.93/x
  3. Step 3: Cross multiply
    2,471.77x = 4,393.93 × 4,393.93
  4. Step 4: Simplify right side
    2,471.77x = 19,306,652.43
  5. Step 5: Solve for x
    x = 19,306,652.43/2,471.77
  6. Step 6: Final answer
    x = 7,810.88

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.