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Finding the Third Proportional to 19,147.50 and 39,861

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Solution

The third proportional to 19,147.50 and 39,861 is: 82,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.50 : 39,861 = 39,861 : x
  2. Step 2: Convert to fraction form
    19,147.50/39,861 = 39,861/x
  3. Step 3: Cross multiply
    19,147.50x = 39,861 × 39,861
  4. Step 4: Simplify right side
    19,147.50x = 1,588,899,321
  5. Step 5: Solve for x
    x = 1,588,899,321/19,147.50
  6. Step 6: Final answer
    x = 82,982.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.