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Finding the Third Proportional to 20,520 and 32,622.75

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Solution

The third proportional to 20,520 and 32,622.75 is: 51,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 32,622.75 = 32,622.75 : x
  2. Step 2: Convert to fraction form
    20,520/32,622.75 = 32,622.75/x
  3. Step 3: Cross multiply
    20,520x = 32,622.75 × 32,622.75
  4. Step 4: Simplify right side
    20,520x = 1,064,243,817.56
  5. Step 5: Solve for x
    x = 1,064,243,817.56/20,520
  6. Step 6: Final answer
    x = 51,863.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.