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Finding the Third Proportional to 7,496.46 and 15,382.15

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Solution

The third proportional to 7,496.46 and 15,382.15 is: 31,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.46 : 15,382.15 = 15,382.15 : x
  2. Step 2: Convert to fraction form
    7,496.46/15,382.15 = 15,382.15/x
  3. Step 3: Cross multiply
    7,496.46x = 15,382.15 × 15,382.15
  4. Step 4: Simplify right side
    7,496.46x = 236,610,513.09
  5. Step 5: Solve for x
    x = 236,610,513.09/7,496.46
  6. Step 6: Final answer
    x = 31,562.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.