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Finding the Third Proportional to 26,623.69 and 57,758.06

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Solution

The third proportional to 26,623.69 and 57,758.06 is: 125,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,623.69 : 57,758.06 = 57,758.06 : x
  2. Step 2: Convert to fraction form
    26,623.69/57,758.06 = 57,758.06/x
  3. Step 3: Cross multiply
    26,623.69x = 57,758.06 × 57,758.06
  4. Step 4: Simplify right side
    26,623.69x = 3,335,993,783.75
  5. Step 5: Solve for x
    x = 3,335,993,783.75/26,623.69
  6. Step 6: Final answer
    x = 125,301.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.