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Finding the Third Proportional to 6,366.94 and 13,710.09

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Solution

The third proportional to 6,366.94 and 13,710.09 is: 29,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.94 : 13,710.09 = 13,710.09 : x
  2. Step 2: Convert to fraction form
    6,366.94/13,710.09 = 13,710.09/x
  3. Step 3: Cross multiply
    6,366.94x = 13,710.09 × 13,710.09
  4. Step 4: Simplify right side
    6,366.94x = 187,966,670.63
  5. Step 5: Solve for x
    x = 187,966,670.63/6,366.94
  6. Step 6: Final answer
    x = 29,522.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.