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Finding the Third Proportional to 7,501.50 and 10,197

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Solution

The third proportional to 7,501.50 and 10,197 is: 13,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.50 : 10,197 = 10,197 : x
  2. Step 2: Convert to fraction form
    7,501.50/10,197 = 10,197/x
  3. Step 3: Cross multiply
    7,501.50x = 10,197 × 10,197
  4. Step 4: Simplify right side
    7,501.50x = 103,978,809
  5. Step 5: Solve for x
    x = 103,978,809/7,501.50
  6. Step 6: Final answer
    x = 13,861.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.