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Finding the Third Proportional to 47,364.75 and 68,428.13

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Solution

The third proportional to 47,364.75 and 68,428.13 is: 98,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.75 : 68,428.13 = 68,428.13 : x
  2. Step 2: Convert to fraction form
    47,364.75/68,428.13 = 68,428.13/x
  3. Step 3: Cross multiply
    47,364.75x = 68,428.13 × 68,428.13
  4. Step 4: Simplify right side
    47,364.75x = 4,682,408,291.02
  5. Step 5: Solve for x
    x = 4,682,408,291.02/47,364.75
  6. Step 6: Final answer
    x = 98,858.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.