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Finding the Third Proportional to 8,673 and 20,411.25

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Solution

The third proportional to 8,673 and 20,411.25 is: 48,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673 : 20,411.25 = 20,411.25 : x
  2. Step 2: Convert to fraction form
    8,673/20,411.25 = 20,411.25/x
  3. Step 3: Cross multiply
    8,673x = 20,411.25 × 20,411.25
  4. Step 4: Simplify right side
    8,673x = 416,619,126.56
  5. Step 5: Solve for x
    x = 416,619,126.56/8,673
  6. Step 6: Final answer
    x = 48,036.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.