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Finding the Third Proportional to 38,189.07 and 56,114.49

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Solution

The third proportional to 38,189.07 and 56,114.49 is: 82,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.07 : 56,114.49 = 56,114.49 : x
  2. Step 2: Convert to fraction form
    38,189.07/56,114.49 = 56,114.49/x
  3. Step 3: Cross multiply
    38,189.07x = 56,114.49 × 56,114.49
  4. Step 4: Simplify right side
    38,189.07x = 3,148,836,014.26
  5. Step 5: Solve for x
    x = 3,148,836,014.26/38,189.07
  6. Step 6: Final answer
    x = 82,453.85

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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.