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Finding the Third Proportional to 14,425.50 and 30,939

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Solution

The third proportional to 14,425.50 and 30,939 is: 66,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.50 : 30,939 = 30,939 : x
  2. Step 2: Convert to fraction form
    14,425.50/30,939 = 30,939/x
  3. Step 3: Cross multiply
    14,425.50x = 30,939 × 30,939
  4. Step 4: Simplify right side
    14,425.50x = 957,221,721
  5. Step 5: Solve for x
    x = 957,221,721/14,425.50
  6. Step 6: Final answer
    x = 66,356.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.