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Finding the Third Proportional to 27,772.88 and 41,689.69

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Solution

The third proportional to 27,772.88 and 41,689.69 is: 62,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.88 : 41,689.69 = 41,689.69 : x
  2. Step 2: Convert to fraction form
    27,772.88/41,689.69 = 41,689.69/x
  3. Step 3: Cross multiply
    27,772.88x = 41,689.69 × 41,689.69
  4. Step 4: Simplify right side
    27,772.88x = 1,738,030,043.85
  5. Step 5: Solve for x
    x = 1,738,030,043.85/27,772.88
  6. Step 6: Final answer
    x = 62,580.13

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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.