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Finding the Third Proportional to 2,473.31 and 3,598.31

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Solution

The third proportional to 2,473.31 and 3,598.31 is: 5,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.31 : 3,598.31 = 3,598.31 : x
  2. Step 2: Convert to fraction form
    2,473.31/3,598.31 = 3,598.31/x
  3. Step 3: Cross multiply
    2,473.31x = 3,598.31 × 3,598.31
  4. Step 4: Simplify right side
    2,473.31x = 12,947,852.85
  5. Step 5: Solve for x
    x = 12,947,852.85/2,473.31
  6. Step 6: Final answer
    x = 5,235.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.