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Finding the Third Proportional to 27,097 and 41,043

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Solution

The third proportional to 27,097 and 41,043 is: 62,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097 : 41,043 = 41,043 : x
  2. Step 2: Convert to fraction form
    27,097/41,043 = 41,043/x
  3. Step 3: Cross multiply
    27,097x = 41,043 × 41,043
  4. Step 4: Simplify right side
    27,097x = 1,684,527,849
  5. Step 5: Solve for x
    x = 1,684,527,849/27,097
  6. Step 6: Final answer
    x = 62,166.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.