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Finding the Third Proportional to 20,031.75 and 32,557.88

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Solution

The third proportional to 20,031.75 and 32,557.88 is: 52,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.75 : 32,557.88 = 32,557.88 : x
  2. Step 2: Convert to fraction form
    20,031.75/32,557.88 = 32,557.88/x
  3. Step 3: Cross multiply
    20,031.75x = 32,557.88 × 32,557.88
  4. Step 4: Simplify right side
    20,031.75x = 1,060,015,224.52
  5. Step 5: Solve for x
    x = 1,060,015,224.52/20,031.75
  6. Step 6: Final answer
    x = 52,916.76

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