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Finding the Third Proportional to 20,607.75 and 30,828.94

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Solution

The third proportional to 20,607.75 and 30,828.94 is: 46,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,607.75 : 30,828.94 = 30,828.94 : x
  2. Step 2: Convert to fraction form
    20,607.75/30,828.94 = 30,828.94/x
  3. Step 3: Cross multiply
    20,607.75x = 30,828.94 × 30,828.94
  4. Step 4: Simplify right side
    20,607.75x = 950,423,387.38
  5. Step 5: Solve for x
    x = 950,423,387.38/20,607.75
  6. Step 6: Final answer
    x = 46,119.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.