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Finding the Third Proportional to 829.13 and 1,137.38

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Solution

The third proportional to 829.13 and 1,137.38 is: 1,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,137.38 = 1,137.38 : x
  2. Step 2: Convert to fraction form
    829.13/1,137.38 = 1,137.38/x
  3. Step 3: Cross multiply
    829.13x = 1,137.38 × 1,137.38
  4. Step 4: Simplify right side
    829.13x = 1,293,621.89
  5. Step 5: Solve for x
    x = 1,293,621.89/829.13
  6. Step 6: Final answer
    x = 1,560.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.