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Finding the Third Proportional to 985.92 and 1,513.69

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Solution

The third proportional to 985.92 and 1,513.69 is: 2,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.92 : 1,513.69 = 1,513.69 : x
  2. Step 2: Convert to fraction form
    985.92/1,513.69 = 1,513.69/x
  3. Step 3: Cross multiply
    985.92x = 1,513.69 × 1,513.69
  4. Step 4: Simplify right side
    985.92x = 2,291,249.85
  5. Step 5: Solve for x
    x = 2,291,249.85/985.92
  6. Step 6: Final answer
    x = 2,323.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.