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Finding the Third Proportional to 8,912 and 20,632

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Solution

The third proportional to 8,912 and 20,632 is: 47,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912 : 20,632 = 20,632 : x
  2. Step 2: Convert to fraction form
    8,912/20,632 = 20,632/x
  3. Step 3: Cross multiply
    8,912x = 20,632 × 20,632
  4. Step 4: Simplify right side
    8,912x = 425,679,424
  5. Step 5: Solve for x
    x = 425,679,424/8,912
  6. Step 6: Final answer
    x = 47,764.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.