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Finding the Third Proportional to 8,997.75 and 20,916.75

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Solution

The third proportional to 8,997.75 and 20,916.75 is: 48,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.75 : 20,916.75 = 20,916.75 : x
  2. Step 2: Convert to fraction form
    8,997.75/20,916.75 = 20,916.75/x
  3. Step 3: Cross multiply
    8,997.75x = 20,916.75 × 20,916.75
  4. Step 4: Simplify right side
    8,997.75x = 437,510,430.56
  5. Step 5: Solve for x
    x = 437,510,430.56/8,997.75
  6. Step 6: Final answer
    x = 48,624.43

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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.