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Finding the Third Proportional to 20,508.75 and 32,130.56

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Solution

The third proportional to 20,508.75 and 32,130.56 is: 50,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.75 : 32,130.56 = 32,130.56 : x
  2. Step 2: Convert to fraction form
    20,508.75/32,130.56 = 32,130.56/x
  3. Step 3: Cross multiply
    20,508.75x = 32,130.56 × 32,130.56
  4. Step 4: Simplify right side
    20,508.75x = 1,032,373,046.57
  5. Step 5: Solve for x
    x = 1,032,373,046.57/20,508.75
  6. Step 6: Final answer
    x = 50,338.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.