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Finding the Third Proportional to 39,694 and 85,621

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Solution

The third proportional to 39,694 and 85,621 is: 184,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,694 : 85,621 = 85,621 : x
  2. Step 2: Convert to fraction form
    39,694/85,621 = 85,621/x
  3. Step 3: Cross multiply
    39,694x = 85,621 × 85,621
  4. Step 4: Simplify right side
    39,694x = 7,330,955,641
  5. Step 5: Solve for x
    x = 7,330,955,641/39,694
  6. Step 6: Final answer
    x = 184,686.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.