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Finding the Third Proportional to 20,202.75 and 32,990.63

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Solution

The third proportional to 20,202.75 and 32,990.63 is: 53,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.75 : 32,990.63 = 32,990.63 : x
  2. Step 2: Convert to fraction form
    20,202.75/32,990.63 = 32,990.63/x
  3. Step 3: Cross multiply
    20,202.75x = 32,990.63 × 32,990.63
  4. Step 4: Simplify right side
    20,202.75x = 1,088,381,337.89
  5. Step 5: Solve for x
    x = 1,088,381,337.89/20,202.75
  6. Step 6: Final answer
    x = 53,872.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.