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Finding the Third Proportional to 39,659 and 85,852

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Solution

The third proportional to 39,659 and 85,852 is: 185,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,659 : 85,852 = 85,852 : x
  2. Step 2: Convert to fraction form
    39,659/85,852 = 85,852/x
  3. Step 3: Cross multiply
    39,659x = 85,852 × 85,852
  4. Step 4: Simplify right side
    39,659x = 7,370,565,904
  5. Step 5: Solve for x
    x = 7,370,565,904/39,659
  6. Step 6: Final answer
    x = 185,848.51

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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.