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Finding the Third Proportional to 14,173.25 and 30,937

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Solution

The third proportional to 14,173.25 and 30,937 is: 67,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.25 : 30,937 = 30,937 : x
  2. Step 2: Convert to fraction form
    14,173.25/30,937 = 30,937/x
  3. Step 3: Cross multiply
    14,173.25x = 30,937 × 30,937
  4. Step 4: Simplify right side
    14,173.25x = 957,097,969
  5. Step 5: Solve for x
    x = 957,097,969/14,173.25
  6. Step 6: Final answer
    x = 67,528.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.