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Finding the Third Proportional to 18,635 and 27,358.50

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Solution

The third proportional to 18,635 and 27,358.50 is: 40,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,635 : 27,358.50 = 27,358.50 : x
  2. Step 2: Convert to fraction form
    18,635/27,358.50 = 27,358.50/x
  3. Step 3: Cross multiply
    18,635x = 27,358.50 × 27,358.50
  4. Step 4: Simplify right side
    18,635x = 748,487,522.25
  5. Step 5: Solve for x
    x = 748,487,522.25/18,635
  6. Step 6: Final answer
    x = 40,165.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.