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Finding the Third Proportional to 36,423 and 54,969.50

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Solution

The third proportional to 36,423 and 54,969.50 is: 82,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,423 : 54,969.50 = 54,969.50 : x
  2. Step 2: Convert to fraction form
    36,423/54,969.50 = 54,969.50/x
  3. Step 3: Cross multiply
    36,423x = 54,969.50 × 54,969.50
  4. Step 4: Simplify right side
    36,423x = 3,021,645,930.25
  5. Step 5: Solve for x
    x = 3,021,645,930.25/36,423
  6. Step 6: Final answer
    x = 82,959.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.