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Finding the Third Proportional to 27,516 and 41,336

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Solution

The third proportional to 27,516 and 41,336 is: 62,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,516 : 41,336 = 41,336 : x
  2. Step 2: Convert to fraction form
    27,516/41,336 = 41,336/x
  3. Step 3: Cross multiply
    27,516x = 41,336 × 41,336
  4. Step 4: Simplify right side
    27,516x = 1,708,664,896
  5. Step 5: Solve for x
    x = 1,708,664,896/27,516
  6. Step 6: Final answer
    x = 62,097.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.