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Finding the Third Proportional to 20,260.50 and 32,052

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Solution

The third proportional to 20,260.50 and 32,052 is: 50,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,260.50 : 32,052 = 32,052 : x
  2. Step 2: Convert to fraction form
    20,260.50/32,052 = 32,052/x
  3. Step 3: Cross multiply
    20,260.50x = 32,052 × 32,052
  4. Step 4: Simplify right side
    20,260.50x = 1,027,330,704
  5. Step 5: Solve for x
    x = 1,027,330,704/20,260.50
  6. Step 6: Final answer
    x = 50,706.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.