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Finding the Third Proportional to 14,212.50 and 30,687

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Solution

The third proportional to 14,212.50 and 30,687 is: 66,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.50 : 30,687 = 30,687 : x
  2. Step 2: Convert to fraction form
    14,212.50/30,687 = 30,687/x
  3. Step 3: Cross multiply
    14,212.50x = 30,687 × 30,687
  4. Step 4: Simplify right side
    14,212.50x = 941,691,969
  5. Step 5: Solve for x
    x = 941,691,969/14,212.50
  6. Step 6: Final answer
    x = 66,258.01

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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.