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Finding the Third Proportional to 39,820 and 87,025

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Solution

The third proportional to 39,820 and 87,025 is: 190,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820 : 87,025 = 87,025 : x
  2. Step 2: Convert to fraction form
    39,820/87,025 = 87,025/x
  3. Step 3: Cross multiply
    39,820x = 87,025 × 87,025
  4. Step 4: Simplify right side
    39,820x = 7,573,350,625
  5. Step 5: Solve for x
    x = 7,573,350,625/39,820
  6. Step 6: Final answer
    x = 190,189.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.