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Finding the Third Proportional to 7,166.25 and 14,838.75

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Solution

The third proportional to 7,166.25 and 14,838.75 is: 30,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.25 : 14,838.75 = 14,838.75 : x
  2. Step 2: Convert to fraction form
    7,166.25/14,838.75 = 14,838.75/x
  3. Step 3: Cross multiply
    7,166.25x = 14,838.75 × 14,838.75
  4. Step 4: Simplify right side
    7,166.25x = 220,188,501.56
  5. Step 5: Solve for x
    x = 220,188,501.56/7,166.25
  6. Step 6: Final answer
    x = 30,725.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.