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Finding the Third Proportional to 6,584.63 and 14,288.06

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Solution

The third proportional to 6,584.63 and 14,288.06 is: 31,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.63 : 14,288.06 = 14,288.06 : x
  2. Step 2: Convert to fraction form
    6,584.63/14,288.06 = 14,288.06/x
  3. Step 3: Cross multiply
    6,584.63x = 14,288.06 × 14,288.06
  4. Step 4: Simplify right side
    6,584.63x = 204,148,730.00
  5. Step 5: Solve for x
    x = 204,148,730.00/6,584.63
  6. Step 6: Final answer
    x = 31,003.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.