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Finding the Third Proportional to 26,537.88 and 41,421.75

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Solution

The third proportional to 26,537.88 and 41,421.75 is: 64,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.88 : 41,421.75 = 41,421.75 : x
  2. Step 2: Convert to fraction form
    26,537.88/41,421.75 = 41,421.75/x
  3. Step 3: Cross multiply
    26,537.88x = 41,421.75 × 41,421.75
  4. Step 4: Simplify right side
    26,537.88x = 1,715,761,373.06
  5. Step 5: Solve for x
    x = 1,715,761,373.06/26,537.88
  6. Step 6: Final answer
    x = 64,653.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.