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Finding the Third Proportional to 1,700.88 and 2,576.89

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Solution

The third proportional to 1,700.88 and 2,576.89 is: 3,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.88 : 2,576.89 = 2,576.89 : x
  2. Step 2: Convert to fraction form
    1,700.88/2,576.89 = 2,576.89/x
  3. Step 3: Cross multiply
    1,700.88x = 2,576.89 × 2,576.89
  4. Step 4: Simplify right side
    1,700.88x = 6,640,370.33
  5. Step 5: Solve for x
    x = 6,640,370.33/1,700.88
  6. Step 6: Final answer
    x = 3,904.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.