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Finding the Third Proportional to 41,814 and 61,326

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Solution

The third proportional to 41,814 and 61,326 is: 89,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,814 : 61,326 = 61,326 : x
  2. Step 2: Convert to fraction form
    41,814/61,326 = 61,326/x
  3. Step 3: Cross multiply
    41,814x = 61,326 × 61,326
  4. Step 4: Simplify right side
    41,814x = 3,760,878,276
  5. Step 5: Solve for x
    x = 3,760,878,276/41,814
  6. Step 6: Final answer
    x = 89,943.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.