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Finding the Third Proportional to 7,390.88 and 16,162.13

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Solution

The third proportional to 7,390.88 and 16,162.13 is: 35,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.88 : 16,162.13 = 16,162.13 : x
  2. Step 2: Convert to fraction form
    7,390.88/16,162.13 = 16,162.13/x
  3. Step 3: Cross multiply
    7,390.88x = 16,162.13 × 16,162.13
  4. Step 4: Simplify right side
    7,390.88x = 261,214,284.52
  5. Step 5: Solve for x
    x = 261,214,284.52/7,390.88
  6. Step 6: Final answer
    x = 35,342.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.