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Finding the Third Proportional to 26,809.50 and 57,180.50

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Solution

The third proportional to 26,809.50 and 57,180.50 is: 121,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809.50 : 57,180.50 = 57,180.50 : x
  2. Step 2: Convert to fraction form
    26,809.50/57,180.50 = 57,180.50/x
  3. Step 3: Cross multiply
    26,809.50x = 57,180.50 × 57,180.50
  4. Step 4: Simplify right side
    26,809.50x = 3,269,609,580.25
  5. Step 5: Solve for x
    x = 3,269,609,580.25/26,809.50
  6. Step 6: Final answer
    x = 121,957.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.