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Finding the Third Proportional to 467.81 and 985.13

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Solution

The third proportional to 467.81 and 985.13 is: 2,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 985.13 = 985.13 : x
  2. Step 2: Convert to fraction form
    467.81/985.13 = 985.13/x
  3. Step 3: Cross multiply
    467.81x = 985.13 × 985.13
  4. Step 4: Simplify right side
    467.81x = 970,471.27
  5. Step 5: Solve for x
    x = 970,471.27/467.81
  6. Step 6: Final answer
    x = 2,074.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.