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Finding the Third Proportional to 3,176.72 and 4,828.36

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Solution

The third proportional to 3,176.72 and 4,828.36 is: 7,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.72 : 4,828.36 = 4,828.36 : x
  2. Step 2: Convert to fraction form
    3,176.72/4,828.36 = 4,828.36/x
  3. Step 3: Cross multiply
    3,176.72x = 4,828.36 × 4,828.36
  4. Step 4: Simplify right side
    3,176.72x = 23,313,054.25
  5. Step 5: Solve for x
    x = 23,313,054.25/3,176.72
  6. Step 6: Final answer
    x = 7,338.72

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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.