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Finding the Third Proportional to 27,295.50 and 41,671.50

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Solution

The third proportional to 27,295.50 and 41,671.50 is: 63,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.50 : 41,671.50 = 41,671.50 : x
  2. Step 2: Convert to fraction form
    27,295.50/41,671.50 = 41,671.50/x
  3. Step 3: Cross multiply
    27,295.50x = 41,671.50 × 41,671.50
  4. Step 4: Simplify right side
    27,295.50x = 1,736,513,912.25
  5. Step 5: Solve for x
    x = 1,736,513,912.25/27,295.50
  6. Step 6: Final answer
    x = 63,619.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.