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Finding the Third Proportional to 27,639 and 41,689.50

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Solution

The third proportional to 27,639 and 41,689.50 is: 62,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,639 : 41,689.50 = 41,689.50 : x
  2. Step 2: Convert to fraction form
    27,639/41,689.50 = 41,689.50/x
  3. Step 3: Cross multiply
    27,639x = 41,689.50 × 41,689.50
  4. Step 4: Simplify right side
    27,639x = 1,738,014,410.25
  5. Step 5: Solve for x
    x = 1,738,014,410.25/27,639
  6. Step 6: Final answer
    x = 62,882.68

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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.