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Finding the Third Proportional to 3,785.48 and 5,810.48

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Solution

The third proportional to 3,785.48 and 5,810.48 is: 8,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.48 : 5,810.48 = 5,810.48 : x
  2. Step 2: Convert to fraction form
    3,785.48/5,810.48 = 5,810.48/x
  3. Step 3: Cross multiply
    3,785.48x = 5,810.48 × 5,810.48
  4. Step 4: Simplify right side
    3,785.48x = 33,761,728.67
  5. Step 5: Solve for x
    x = 33,761,728.67/3,785.48
  6. Step 6: Final answer
    x = 8,918.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.