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Finding the Third Proportional to 38,777 and 62,214.50

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Solution

The third proportional to 38,777 and 62,214.50 is: 99,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777 : 62,214.50 = 62,214.50 : x
  2. Step 2: Convert to fraction form
    38,777/62,214.50 = 62,214.50/x
  3. Step 3: Cross multiply
    38,777x = 62,214.50 × 62,214.50
  4. Step 4: Simplify right side
    38,777x = 3,870,644,010.25
  5. Step 5: Solve for x
    x = 3,870,644,010.25/38,777
  6. Step 6: Final answer
    x = 99,818.04

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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.