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Finding the Third Proportional to 27,409.50 and 41,404.50

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Solution

The third proportional to 27,409.50 and 41,404.50 is: 62,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.50 : 41,404.50 = 41,404.50 : x
  2. Step 2: Convert to fraction form
    27,409.50/41,404.50 = 41,404.50/x
  3. Step 3: Cross multiply
    27,409.50x = 41,404.50 × 41,404.50
  4. Step 4: Simplify right side
    27,409.50x = 1,714,332,620.25
  5. Step 5: Solve for x
    x = 1,714,332,620.25/27,409.50
  6. Step 6: Final answer
    x = 62,545.20

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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.