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Finding the Third Proportional to 1,771.88 and 4,800.94

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Solution

The third proportional to 1,771.88 and 4,800.94 is: 13,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.88 : 4,800.94 = 4,800.94 : x
  2. Step 2: Convert to fraction form
    1,771.88/4,800.94 = 4,800.94/x
  3. Step 3: Cross multiply
    1,771.88x = 4,800.94 × 4,800.94
  4. Step 4: Simplify right side
    1,771.88x = 23,049,000.88
  5. Step 5: Solve for x
    x = 23,049,000.88/1,771.88
  6. Step 6: Final answer
    x = 13,008.25

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.