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Finding the Third Proportional to 20,857.50 and 32,259.94

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Solution

The third proportional to 20,857.50 and 32,259.94 is: 49,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.50 : 32,259.94 = 32,259.94 : x
  2. Step 2: Convert to fraction form
    20,857.50/32,259.94 = 32,259.94/x
  3. Step 3: Cross multiply
    20,857.50x = 32,259.94 × 32,259.94
  4. Step 4: Simplify right side
    20,857.50x = 1,040,703,567.50
  5. Step 5: Solve for x
    x = 1,040,703,567.50/20,857.50
  6. Step 6: Final answer
    x = 49,895.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.