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Finding the Third Proportional to 1,755.58 and 3,771.72

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Solution

The third proportional to 1,755.58 and 3,771.72 is: 8,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.58 : 3,771.72 = 3,771.72 : x
  2. Step 2: Convert to fraction form
    1,755.58/3,771.72 = 3,771.72/x
  3. Step 3: Cross multiply
    1,755.58x = 3,771.72 × 3,771.72
  4. Step 4: Simplify right side
    1,755.58x = 14,225,877.06
  5. Step 5: Solve for x
    x = 14,225,877.06/1,755.58
  6. Step 6: Final answer
    x = 8,103.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.