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Finding the Third Proportional to 6,509.25 and 14,006.25

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Solution

The third proportional to 6,509.25 and 14,006.25 is: 30,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.25 : 14,006.25 = 14,006.25 : x
  2. Step 2: Convert to fraction form
    6,509.25/14,006.25 = 14,006.25/x
  3. Step 3: Cross multiply
    6,509.25x = 14,006.25 × 14,006.25
  4. Step 4: Simplify right side
    6,509.25x = 196,175,039.06
  5. Step 5: Solve for x
    x = 196,175,039.06/6,509.25
  6. Step 6: Final answer
    x = 30,137.89

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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.