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Finding the Third Proportional to 785.53 and 1,645.31

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Solution

The third proportional to 785.53 and 1,645.31 is: 3,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,645.31 = 1,645.31 : x
  2. Step 2: Convert to fraction form
    785.53/1,645.31 = 1,645.31/x
  3. Step 3: Cross multiply
    785.53x = 1,645.31 × 1,645.31
  4. Step 4: Simplify right side
    785.53x = 2,707,053.22
  5. Step 5: Solve for x
    x = 2,707,053.22/785.53
  6. Step 6: Final answer
    x = 3,446.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.