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Finding the Third Proportional to 39,287 and 84,850

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Solution

The third proportional to 39,287 and 84,850 is: 183,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,287 : 84,850 = 84,850 : x
  2. Step 2: Convert to fraction form
    39,287/84,850 = 84,850/x
  3. Step 3: Cross multiply
    39,287x = 84,850 × 84,850
  4. Step 4: Simplify right side
    39,287x = 7,199,522,500
  5. Step 5: Solve for x
    x = 7,199,522,500/39,287
  6. Step 6: Final answer
    x = 183,254.58

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