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Finding the Third Proportional to 6,839 and 14,527.50

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Solution

The third proportional to 6,839 and 14,527.50 is: 30,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839 : 14,527.50 = 14,527.50 : x
  2. Step 2: Convert to fraction form
    6,839/14,527.50 = 14,527.50/x
  3. Step 3: Cross multiply
    6,839x = 14,527.50 × 14,527.50
  4. Step 4: Simplify right side
    6,839x = 211,048,256.25
  5. Step 5: Solve for x
    x = 211,048,256.25/6,839
  6. Step 6: Final answer
    x = 30,859.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.