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Finding the Third Proportional to 39,992 and 86,038

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Solution

The third proportional to 39,992 and 86,038 is: 185,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,992 : 86,038 = 86,038 : x
  2. Step 2: Convert to fraction form
    39,992/86,038 = 86,038/x
  3. Step 3: Cross multiply
    39,992x = 86,038 × 86,038
  4. Step 4: Simplify right side
    39,992x = 7,402,537,444
  5. Step 5: Solve for x
    x = 7,402,537,444/39,992
  6. Step 6: Final answer
    x = 185,100.46

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