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Finding the Third Proportional to 7,184.25 and 10,502.75

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Solution

The third proportional to 7,184.25 and 10,502.75 is: 15,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.25 : 10,502.75 = 10,502.75 : x
  2. Step 2: Convert to fraction form
    7,184.25/10,502.75 = 10,502.75/x
  3. Step 3: Cross multiply
    7,184.25x = 10,502.75 × 10,502.75
  4. Step 4: Simplify right side
    7,184.25x = 110,307,757.56
  5. Step 5: Solve for x
    x = 110,307,757.56/7,184.25
  6. Step 6: Final answer
    x = 15,354.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.