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Finding the Third Proportional to 18,442 and 39,068

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Solution

The third proportional to 18,442 and 39,068 is: 82,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442 : 39,068 = 39,068 : x
  2. Step 2: Convert to fraction form
    18,442/39,068 = 39,068/x
  3. Step 3: Cross multiply
    18,442x = 39,068 × 39,068
  4. Step 4: Simplify right side
    18,442x = 1,526,308,624
  5. Step 5: Solve for x
    x = 1,526,308,624/18,442
  6. Step 6: Final answer
    x = 82,762.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.