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Finding the Third Proportional to 6,230.25 and 13,641.75

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Solution

The third proportional to 6,230.25 and 13,641.75 is: 29,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.25 : 13,641.75 = 13,641.75 : x
  2. Step 2: Convert to fraction form
    6,230.25/13,641.75 = 13,641.75/x
  3. Step 3: Cross multiply
    6,230.25x = 13,641.75 × 13,641.75
  4. Step 4: Simplify right side
    6,230.25x = 186,097,343.06
  5. Step 5: Solve for x
    x = 186,097,343.06/6,230.25
  6. Step 6: Final answer
    x = 29,869.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.