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Finding the Third Proportional to 7,384.29 and 10,960.63

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Solution

The third proportional to 7,384.29 and 10,960.63 is: 16,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.29 : 10,960.63 = 10,960.63 : x
  2. Step 2: Convert to fraction form
    7,384.29/10,960.63 = 10,960.63/x
  3. Step 3: Cross multiply
    7,384.29x = 10,960.63 × 10,960.63
  4. Step 4: Simplify right side
    7,384.29x = 120,135,386.02
  5. Step 5: Solve for x
    x = 120,135,386.02/7,384.29
  6. Step 6: Final answer
    x = 16,269.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.