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Finding the Third Proportional to 4,057.88 and 4,885.88

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Solution

The third proportional to 4,057.88 and 4,885.88 is: 5,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.88 : 4,885.88 = 4,885.88 : x
  2. Step 2: Convert to fraction form
    4,057.88/4,885.88 = 4,885.88/x
  3. Step 3: Cross multiply
    4,057.88x = 4,885.88 × 4,885.88
  4. Step 4: Simplify right side
    4,057.88x = 23,871,774.52
  5. Step 5: Solve for x
    x = 23,871,774.52/4,057.88
  6. Step 6: Final answer
    x = 5,882.83

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.