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Finding the Third Proportional to 26,250.75 and 38,964.38

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Solution

The third proportional to 26,250.75 and 38,964.38 is: 57,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,250.75 : 38,964.38 = 38,964.38 : x
  2. Step 2: Convert to fraction form
    26,250.75/38,964.38 = 38,964.38/x
  3. Step 3: Cross multiply
    26,250.75x = 38,964.38 × 38,964.38
  4. Step 4: Simplify right side
    26,250.75x = 1,518,222,519.14
  5. Step 5: Solve for x
    x = 1,518,222,519.14/26,250.75
  6. Step 6: Final answer
    x = 57,835.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.