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Finding the Third Proportional to 7,861.50 and 17,024.63

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Solution

The third proportional to 7,861.50 and 17,024.63 is: 36,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.50 : 17,024.63 = 17,024.63 : x
  2. Step 2: Convert to fraction form
    7,861.50/17,024.63 = 17,024.63/x
  3. Step 3: Cross multiply
    7,861.50x = 17,024.63 × 17,024.63
  4. Step 4: Simplify right side
    7,861.50x = 289,837,856.39
  5. Step 5: Solve for x
    x = 289,837,856.39/7,861.50
  6. Step 6: Final answer
    x = 36,868.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.