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Finding the Third Proportional to 6,757.59 and 14,655.94

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Solution

The third proportional to 6,757.59 and 14,655.94 is: 31,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.59 : 14,655.94 = 14,655.94 : x
  2. Step 2: Convert to fraction form
    6,757.59/14,655.94 = 14,655.94/x
  3. Step 3: Cross multiply
    6,757.59x = 14,655.94 × 14,655.94
  4. Step 4: Simplify right side
    6,757.59x = 214,796,504.00
  5. Step 5: Solve for x
    x = 214,796,504.00/6,757.59
  6. Step 6: Final answer
    x = 31,785.95

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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.