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Finding the Third Proportional to 20,158.88 and 32,026.03

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Solution

The third proportional to 20,158.88 and 32,026.03 is: 50,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.88 : 32,026.03 = 32,026.03 : x
  2. Step 2: Convert to fraction form
    20,158.88/32,026.03 = 32,026.03/x
  3. Step 3: Cross multiply
    20,158.88x = 32,026.03 × 32,026.03
  4. Step 4: Simplify right side
    20,158.88x = 1,025,666,677.63
  5. Step 5: Solve for x
    x = 1,025,666,677.63/20,158.88
  6. Step 6: Final answer
    x = 50,879.16

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