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Finding the Third Proportional to 24,105 and 37,097

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Solution

The third proportional to 24,105 and 37,097 is: 57,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105 : 37,097 = 37,097 : x
  2. Step 2: Convert to fraction form
    24,105/37,097 = 37,097/x
  3. Step 3: Cross multiply
    24,105x = 37,097 × 37,097
  4. Step 4: Simplify right side
    24,105x = 1,376,187,409
  5. Step 5: Solve for x
    x = 1,376,187,409/24,105
  6. Step 6: Final answer
    x = 57,091.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.