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Finding the Third Proportional to 38,712 and 54,515.25

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Solution

The third proportional to 38,712 and 54,515.25 is: 76,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,712 : 54,515.25 = 54,515.25 : x
  2. Step 2: Convert to fraction form
    38,712/54,515.25 = 54,515.25/x
  3. Step 3: Cross multiply
    38,712x = 54,515.25 × 54,515.25
  4. Step 4: Simplify right side
    38,712x = 2,971,912,482.56
  5. Step 5: Solve for x
    x = 2,971,912,482.56/38,712
  6. Step 6: Final answer
    x = 76,769.80

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.