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Finding the Third Proportional to 6,992.16 and 15,313.22

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Solution

The third proportional to 6,992.16 and 15,313.22 is: 33,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.16 : 15,313.22 = 15,313.22 : x
  2. Step 2: Convert to fraction form
    6,992.16/15,313.22 = 15,313.22/x
  3. Step 3: Cross multiply
    6,992.16x = 15,313.22 × 15,313.22
  4. Step 4: Simplify right side
    6,992.16x = 234,494,668.49
  5. Step 5: Solve for x
    x = 234,494,668.49/6,992.16
  6. Step 6: Final answer
    x = 33,536.82

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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.