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Finding the Third Proportional to 1,735.88 and 3,760.88

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Solution

The third proportional to 1,735.88 and 3,760.88 is: 8,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.88 : 3,760.88 = 3,760.88 : x
  2. Step 2: Convert to fraction form
    1,735.88/3,760.88 = 3,760.88/x
  3. Step 3: Cross multiply
    1,735.88x = 3,760.88 × 3,760.88
  4. Step 4: Simplify right side
    1,735.88x = 14,144,180.77
  5. Step 5: Solve for x
    x = 14,144,180.77/1,735.88
  6. Step 6: Final answer
    x = 8,148.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.