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Finding the Third Proportional to 7,893.50 and 13,154.50

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Solution

The third proportional to 7,893.50 and 13,154.50 is: 21,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.50 : 13,154.50 = 13,154.50 : x
  2. Step 2: Convert to fraction form
    7,893.50/13,154.50 = 13,154.50/x
  3. Step 3: Cross multiply
    7,893.50x = 13,154.50 × 13,154.50
  4. Step 4: Simplify right side
    7,893.50x = 173,040,870.25
  5. Step 5: Solve for x
    x = 173,040,870.25/7,893.50
  6. Step 6: Final answer
    x = 21,921.94

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.