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Finding the Third Proportional to 18,281.50 and 39,695

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Solution

The third proportional to 18,281.50 and 39,695 is: 86,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.50 : 39,695 = 39,695 : x
  2. Step 2: Convert to fraction form
    18,281.50/39,695 = 39,695/x
  3. Step 3: Cross multiply
    18,281.50x = 39,695 × 39,695
  4. Step 4: Simplify right side
    18,281.50x = 1,575,693,025
  5. Step 5: Solve for x
    x = 1,575,693,025/18,281.50
  6. Step 6: Final answer
    x = 86,190.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.