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Finding the Third Proportional to 6,853.50 and 14,838.75

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Solution

The third proportional to 6,853.50 and 14,838.75 is: 32,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.50 : 14,838.75 = 14,838.75 : x
  2. Step 2: Convert to fraction form
    6,853.50/14,838.75 = 14,838.75/x
  3. Step 3: Cross multiply
    6,853.50x = 14,838.75 × 14,838.75
  4. Step 4: Simplify right side
    6,853.50x = 220,188,501.56
  5. Step 5: Solve for x
    x = 220,188,501.56/6,853.50
  6. Step 6: Final answer
    x = 32,127.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.