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Finding the Third Proportional to 26,817.75 and 57,746.25

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Solution

The third proportional to 26,817.75 and 57,746.25 is: 124,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,817.75 : 57,746.25 = 57,746.25 : x
  2. Step 2: Convert to fraction form
    26,817.75/57,746.25 = 57,746.25/x
  3. Step 3: Cross multiply
    26,817.75x = 57,746.25 × 57,746.25
  4. Step 4: Simplify right side
    26,817.75x = 3,334,629,389.06
  5. Step 5: Solve for x
    x = 3,334,629,389.06/26,817.75
  6. Step 6: Final answer
    x = 124,344.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.