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Finding the Third Proportional to 7,139.25 and 10,283.25

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Solution

The third proportional to 7,139.25 and 10,283.25 is: 14,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.25 : 10,283.25 = 10,283.25 : x
  2. Step 2: Convert to fraction form
    7,139.25/10,283.25 = 10,283.25/x
  3. Step 3: Cross multiply
    7,139.25x = 10,283.25 × 10,283.25
  4. Step 4: Simplify right side
    7,139.25x = 105,745,230.56
  5. Step 5: Solve for x
    x = 105,745,230.56/7,139.25
  6. Step 6: Final answer
    x = 14,811.81

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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.