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Finding the Third Proportional to 7,265.25 and 10,869.38

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Solution

The third proportional to 7,265.25 and 10,869.38 is: 16,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.25 : 10,869.38 = 10,869.38 : x
  2. Step 2: Convert to fraction form
    7,265.25/10,869.38 = 10,869.38/x
  3. Step 3: Cross multiply
    7,265.25x = 10,869.38 × 10,869.38
  4. Step 4: Simplify right side
    7,265.25x = 118,143,312.89
  5. Step 5: Solve for x
    x = 118,143,312.89/7,265.25
  6. Step 6: Final answer
    x = 16,261.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.