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Finding the Third Proportional to 38,777.06 and 62,214.75

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Solution

The third proportional to 38,777.06 and 62,214.75 is: 99,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777.06 : 62,214.75 = 62,214.75 : x
  2. Step 2: Convert to fraction form
    38,777.06/62,214.75 = 62,214.75/x
  3. Step 3: Cross multiply
    38,777.06x = 62,214.75 × 62,214.75
  4. Step 4: Simplify right side
    38,777.06x = 3,870,675,117.56
  5. Step 5: Solve for x
    x = 3,870,675,117.56/38,777.06
  6. Step 6: Final answer
    x = 99,818.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.