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Finding the Third Proportional to 1,742.06 and 3,750.75

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Solution

The third proportional to 1,742.06 and 3,750.75 is: 8,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.06 : 3,750.75 = 3,750.75 : x
  2. Step 2: Convert to fraction form
    1,742.06/3,750.75 = 3,750.75/x
  3. Step 3: Cross multiply
    1,742.06x = 3,750.75 × 3,750.75
  4. Step 4: Simplify right side
    1,742.06x = 14,068,125.56
  5. Step 5: Solve for x
    x = 14,068,125.56/1,742.06
  6. Step 6: Final answer
    x = 8,075.56

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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.