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Finding the Third Proportional to 985.69 and 2,062.88

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Solution

The third proportional to 985.69 and 2,062.88 is: 4,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.69 : 2,062.88 = 2,062.88 : x
  2. Step 2: Convert to fraction form
    985.69/2,062.88 = 2,062.88/x
  3. Step 3: Cross multiply
    985.69x = 2,062.88 × 2,062.88
  4. Step 4: Simplify right side
    985.69x = 4,255,453.27
  5. Step 5: Solve for x
    x = 4,255,453.27/985.69
  6. Step 6: Final answer
    x = 4,317.24

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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.