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Finding the Third Proportional to 4,725.84 and 7,201.83

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Solution

The third proportional to 4,725.84 and 7,201.83 is: 10,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.84 : 7,201.83 = 7,201.83 : x
  2. Step 2: Convert to fraction form
    4,725.84/7,201.83 = 7,201.83/x
  3. Step 3: Cross multiply
    4,725.84x = 7,201.83 × 7,201.83
  4. Step 4: Simplify right side
    4,725.84x = 51,866,328.34
  5. Step 5: Solve for x
    x = 51,866,328.34/4,725.84
  6. Step 6: Final answer
    x = 10,975.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.