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Finding the Third Proportional to 18,642 and 29,097

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Solution

The third proportional to 18,642 and 29,097 is: 45,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 29,097 = 29,097 : x
  2. Step 2: Convert to fraction form
    18,642/29,097 = 29,097/x
  3. Step 3: Cross multiply
    18,642x = 29,097 × 29,097
  4. Step 4: Simplify right side
    18,642x = 846,635,409
  5. Step 5: Solve for x
    x = 846,635,409/18,642
  6. Step 6: Final answer
    x = 45,415.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.