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Finding the Third Proportional to 3,230.25 and 6,842.06

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Solution

The third proportional to 3,230.25 and 6,842.06 is: 14,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.25 : 6,842.06 = 6,842.06 : x
  2. Step 2: Convert to fraction form
    3,230.25/6,842.06 = 6,842.06/x
  3. Step 3: Cross multiply
    3,230.25x = 6,842.06 × 6,842.06
  4. Step 4: Simplify right side
    3,230.25x = 46,813,819.25
  5. Step 5: Solve for x
    x = 46,813,819.25/3,230.25
  6. Step 6: Final answer
    x = 14,492.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.