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Finding the Third Proportional to 1,597.54 and 3,489.33

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Solution

The third proportional to 1,597.54 and 3,489.33 is: 7,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.54 : 3,489.33 = 3,489.33 : x
  2. Step 2: Convert to fraction form
    1,597.54/3,489.33 = 3,489.33/x
  3. Step 3: Cross multiply
    1,597.54x = 3,489.33 × 3,489.33
  4. Step 4: Simplify right side
    1,597.54x = 12,175,410.76
  5. Step 5: Solve for x
    x = 12,175,410.76/1,597.54
  6. Step 6: Final answer
    x = 7,621.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.