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Finding the Third Proportional to 6,554.59 and 14,589.25

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Solution

The third proportional to 6,554.59 and 14,589.25 is: 32,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.59 : 14,589.25 = 14,589.25 : x
  2. Step 2: Convert to fraction form
    6,554.59/14,589.25 = 14,589.25/x
  3. Step 3: Cross multiply
    6,554.59x = 14,589.25 × 14,589.25
  4. Step 4: Simplify right side
    6,554.59x = 212,846,358.04
  5. Step 5: Solve for x
    x = 212,846,358.04/6,554.59
  6. Step 6: Final answer
    x = 32,472.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.