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Finding the Third Proportional to 38,641.50 and 84,262.50

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Solution

The third proportional to 38,641.50 and 84,262.50 is: 183,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.50 : 84,262.50 = 84,262.50 : x
  2. Step 2: Convert to fraction form
    38,641.50/84,262.50 = 84,262.50/x
  3. Step 3: Cross multiply
    38,641.50x = 84,262.50 × 84,262.50
  4. Step 4: Simplify right side
    38,641.50x = 7,100,168,906.25
  5. Step 5: Solve for x
    x = 7,100,168,906.25/38,641.50
  6. Step 6: Final answer
    x = 183,744.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.