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Finding the Third Proportional to 1,785.48 and 3,912.68

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Solution

The third proportional to 1,785.48 and 3,912.68 is: 8,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.48 : 3,912.68 = 3,912.68 : x
  2. Step 2: Convert to fraction form
    1,785.48/3,912.68 = 3,912.68/x
  3. Step 3: Cross multiply
    1,785.48x = 3,912.68 × 3,912.68
  4. Step 4: Simplify right side
    1,785.48x = 15,309,062.34
  5. Step 5: Solve for x
    x = 15,309,062.34/1,785.48
  6. Step 6: Final answer
    x = 8,574.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.