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Finding the Third Proportional to 39,460.50 and 86,582.25

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Solution

The third proportional to 39,460.50 and 86,582.25 is: 189,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460.50 : 86,582.25 = 86,582.25 : x
  2. Step 2: Convert to fraction form
    39,460.50/86,582.25 = 86,582.25/x
  3. Step 3: Cross multiply
    39,460.50x = 86,582.25 × 86,582.25
  4. Step 4: Simplify right side
    39,460.50x = 7,496,486,015.06
  5. Step 5: Solve for x
    x = 7,496,486,015.06/39,460.50
  6. Step 6: Final answer
    x = 189,974.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.