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Finding the Third Proportional to 26,613.25 and 41,748.38

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Solution

The third proportional to 26,613.25 and 41,748.38 is: 65,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,613.25 : 41,748.38 = 41,748.38 : x
  2. Step 2: Convert to fraction form
    26,613.25/41,748.38 = 41,748.38/x
  3. Step 3: Cross multiply
    26,613.25x = 41,748.38 × 41,748.38
  4. Step 4: Simplify right side
    26,613.25x = 1,742,926,815.14
  5. Step 5: Solve for x
    x = 1,742,926,815.14/26,613.25
  6. Step 6: Final answer
    x = 65,490.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.