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Finding the Third Proportional to 26,202.38 and 56,835

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Solution

The third proportional to 26,202.38 and 56,835 is: 123,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.38 : 56,835 = 56,835 : x
  2. Step 2: Convert to fraction form
    26,202.38/56,835 = 56,835/x
  3. Step 3: Cross multiply
    26,202.38x = 56,835 × 56,835
  4. Step 4: Simplify right side
    26,202.38x = 3,230,217,225
  5. Step 5: Solve for x
    x = 3,230,217,225/26,202.38
  6. Step 6: Final answer
    x = 123,279.56

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Why These Related Problems?

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