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Finding the Third Proportional to 38,072.53 and 55,809.84

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Solution

The third proportional to 38,072.53 and 55,809.84 is: 81,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072.53 : 55,809.84 = 55,809.84 : x
  2. Step 2: Convert to fraction form
    38,072.53/55,809.84 = 55,809.84/x
  3. Step 3: Cross multiply
    38,072.53x = 55,809.84 × 55,809.84
  4. Step 4: Simplify right side
    38,072.53x = 3,114,738,659.40
  5. Step 5: Solve for x
    x = 3,114,738,659.40/38,072.53
  6. Step 6: Final answer
    x = 81,810.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.