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Finding the Third Proportional to 1,775.04 and 2,627.91

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Solution

The third proportional to 1,775.04 and 2,627.91 is: 3,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.04 : 2,627.91 = 2,627.91 : x
  2. Step 2: Convert to fraction form
    1,775.04/2,627.91 = 2,627.91/x
  3. Step 3: Cross multiply
    1,775.04x = 2,627.91 × 2,627.91
  4. Step 4: Simplify right side
    1,775.04x = 6,905,922.05
  5. Step 5: Solve for x
    x = 6,905,922.05/1,775.04
  6. Step 6: Final answer
    x = 3,890.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.