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Finding the Third Proportional to 2,393.58 and 3,639.80

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Solution

The third proportional to 2,393.58 and 3,639.80 is: 5,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.58 : 3,639.80 = 3,639.80 : x
  2. Step 2: Convert to fraction form
    2,393.58/3,639.80 = 3,639.80/x
  3. Step 3: Cross multiply
    2,393.58x = 3,639.80 × 3,639.80
  4. Step 4: Simplify right side
    2,393.58x = 13,248,121.29
  5. Step 5: Solve for x
    x = 13,248,121.29/2,393.58
  6. Step 6: Final answer
    x = 5,534.86

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Why These Related Problems?

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