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Finding the Third Proportional to 6,578.30 and 14,209.59

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Solution

The third proportional to 6,578.30 and 14,209.59 is: 30,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.30 : 14,209.59 = 14,209.59 : x
  2. Step 2: Convert to fraction form
    6,578.30/14,209.59 = 14,209.59/x
  3. Step 3: Cross multiply
    6,578.30x = 14,209.59 × 14,209.59
  4. Step 4: Simplify right side
    6,578.30x = 201,912,554.54
  5. Step 5: Solve for x
    x = 201,912,554.54/6,578.30
  6. Step 6: Final answer
    x = 30,693.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.