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Finding the Third Proportional to 40,992 and 63,097

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Solution

The third proportional to 40,992 and 63,097 is: 97,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,992 : 63,097 = 63,097 : x
  2. Step 2: Convert to fraction form
    40,992/63,097 = 63,097/x
  3. Step 3: Cross multiply
    40,992x = 63,097 × 63,097
  4. Step 4: Simplify right side
    40,992x = 3,981,231,409
  5. Step 5: Solve for x
    x = 3,981,231,409/40,992
  6. Step 6: Final answer
    x = 97,122.16

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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.