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Finding the Third Proportional to 23,576 and 30,986

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Solution

The third proportional to 23,576 and 30,986 is: 40,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576 : 30,986 = 30,986 : x
  2. Step 2: Convert to fraction form
    23,576/30,986 = 30,986/x
  3. Step 3: Cross multiply
    23,576x = 30,986 × 30,986
  4. Step 4: Simplify right side
    23,576x = 960,132,196
  5. Step 5: Solve for x
    x = 960,132,196/23,576
  6. Step 6: Final answer
    x = 40,724.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.