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Finding the Third Proportional to 39,990 and 86,034

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Solution

The third proportional to 39,990 and 86,034 is: 185,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,990 : 86,034 = 86,034 : x
  2. Step 2: Convert to fraction form
    39,990/86,034 = 86,034/x
  3. Step 3: Cross multiply
    39,990x = 86,034 × 86,034
  4. Step 4: Simplify right side
    39,990x = 7,401,849,156
  5. Step 5: Solve for x
    x = 7,401,849,156/39,990
  6. Step 6: Final answer
    x = 185,092.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.