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Finding the Third Proportional to 26,511.61 and 57,174.47

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Solution

The third proportional to 26,511.61 and 57,174.47 is: 123,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,511.61 : 57,174.47 = 57,174.47 : x
  2. Step 2: Convert to fraction form
    26,511.61/57,174.47 = 57,174.47/x
  3. Step 3: Cross multiply
    26,511.61x = 57,174.47 × 57,174.47
  4. Step 4: Simplify right side
    26,511.61x = 3,268,919,876.84
  5. Step 5: Solve for x
    x = 3,268,919,876.84/26,511.61
  6. Step 6: Final answer
    x = 123,301.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.