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Finding the Third Proportional to 14,394.38 and 30,975.75

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Solution

The third proportional to 14,394.38 and 30,975.75 is: 66,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.38 : 30,975.75 = 30,975.75 : x
  2. Step 2: Convert to fraction form
    14,394.38/30,975.75 = 30,975.75/x
  3. Step 3: Cross multiply
    14,394.38x = 30,975.75 × 30,975.75
  4. Step 4: Simplify right side
    14,394.38x = 959,497,088.06
  5. Step 5: Solve for x
    x = 959,497,088.06/14,394.38
  6. Step 6: Final answer
    x = 66,657.78

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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.