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Finding the Third Proportional to 786.94 and 1,725.47

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Solution

The third proportional to 786.94 and 1,725.47 is: 3,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.94 : 1,725.47 = 1,725.47 : x
  2. Step 2: Convert to fraction form
    786.94/1,725.47 = 1,725.47/x
  3. Step 3: Cross multiply
    786.94x = 1,725.47 × 1,725.47
  4. Step 4: Simplify right side
    786.94x = 2,977,242.41
  5. Step 5: Solve for x
    x = 2,977,242.41/786.94
  6. Step 6: Final answer
    x = 3,783.33

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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.