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Finding the Third Proportional to 8,673 and 20,314.50

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Solution

The third proportional to 8,673 and 20,314.50 is: 47,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673 : 20,314.50 = 20,314.50 : x
  2. Step 2: Convert to fraction form
    8,673/20,314.50 = 20,314.50/x
  3. Step 3: Cross multiply
    8,673x = 20,314.50 × 20,314.50
  4. Step 4: Simplify right side
    8,673x = 412,678,910.25
  5. Step 5: Solve for x
    x = 412,678,910.25/8,673
  6. Step 6: Final answer
    x = 47,582.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.