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Finding the Third Proportional to 39,814 and 85,842

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Solution

The third proportional to 39,814 and 85,842 is: 185,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814 : 85,842 = 85,842 : x
  2. Step 2: Convert to fraction form
    39,814/85,842 = 85,842/x
  3. Step 3: Cross multiply
    39,814x = 85,842 × 85,842
  4. Step 4: Simplify right side
    39,814x = 7,368,848,964
  5. Step 5: Solve for x
    x = 7,368,848,964/39,814
  6. Step 6: Final answer
    x = 185,081.85

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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.