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Finding the Third Proportional to 1,598.34 and 3,418.73

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Solution

The third proportional to 1,598.34 and 3,418.73 is: 7,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.34 : 3,418.73 = 3,418.73 : x
  2. Step 2: Convert to fraction form
    1,598.34/3,418.73 = 3,418.73/x
  3. Step 3: Cross multiply
    1,598.34x = 3,418.73 × 3,418.73
  4. Step 4: Simplify right side
    1,598.34x = 11,687,744.73
  5. Step 5: Solve for x
    x = 11,687,744.73/1,598.34
  6. Step 6: Final answer
    x = 7,312.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.