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Finding the Third Proportional to 26,178.75 and 57,244.50

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Solution

The third proportional to 26,178.75 and 57,244.50 is: 125,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178.75 : 57,244.50 = 57,244.50 : x
  2. Step 2: Convert to fraction form
    26,178.75/57,244.50 = 57,244.50/x
  3. Step 3: Cross multiply
    26,178.75x = 57,244.50 × 57,244.50
  4. Step 4: Simplify right side
    26,178.75x = 3,276,932,780.25
  5. Step 5: Solve for x
    x = 3,276,932,780.25/26,178.75
  6. Step 6: Final answer
    x = 125,175.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.