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Finding the Third Proportional to 2,777.94 and 4,057.22

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Solution

The third proportional to 2,777.94 and 4,057.22 is: 5,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.94 : 4,057.22 = 4,057.22 : x
  2. Step 2: Convert to fraction form
    2,777.94/4,057.22 = 4,057.22/x
  3. Step 3: Cross multiply
    2,777.94x = 4,057.22 × 4,057.22
  4. Step 4: Simplify right side
    2,777.94x = 16,461,023.99
  5. Step 5: Solve for x
    x = 16,461,023.99/2,777.94
  6. Step 6: Final answer
    x = 5,925.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.