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Finding the Third Proportional to 986.75 and 2,323.88

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Solution

The third proportional to 986.75 and 2,323.88 is: 5,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.75 : 2,323.88 = 2,323.88 : x
  2. Step 2: Convert to fraction form
    986.75/2,323.88 = 2,323.88/x
  3. Step 3: Cross multiply
    986.75x = 2,323.88 × 2,323.88
  4. Step 4: Simplify right side
    986.75x = 5,400,395.02
  5. Step 5: Solve for x
    x = 5,400,395.02/986.75
  6. Step 6: Final answer
    x = 5,472.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.