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Finding the Third Proportional to 5,803.31 and 12,654.56

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Solution

The third proportional to 5,803.31 and 12,654.56 is: 27,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.31 : 12,654.56 = 12,654.56 : x
  2. Step 2: Convert to fraction form
    5,803.31/12,654.56 = 12,654.56/x
  3. Step 3: Cross multiply
    5,803.31x = 12,654.56 × 12,654.56
  4. Step 4: Simplify right side
    5,803.31x = 160,137,952.07
  5. Step 5: Solve for x
    x = 160,137,952.07/5,803.31
  6. Step 6: Final answer
    x = 27,594.23

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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.