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Finding the Third Proportional to 6,509.25 and 13,479.19

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Solution

The third proportional to 6,509.25 and 13,479.19 is: 27,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.25 : 13,479.19 = 13,479.19 : x
  2. Step 2: Convert to fraction form
    6,509.25/13,479.19 = 13,479.19/x
  3. Step 3: Cross multiply
    6,509.25x = 13,479.19 × 13,479.19
  4. Step 4: Simplify right side
    6,509.25x = 181,688,495.66
  5. Step 5: Solve for x
    x = 181,688,495.66/6,509.25
  6. Step 6: Final answer
    x = 27,912.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.