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Finding the Third Proportional to 7,235.26 and 15,768.11

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Solution

The third proportional to 7,235.26 and 15,768.11 is: 34,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.26 : 15,768.11 = 15,768.11 : x
  2. Step 2: Convert to fraction form
    7,235.26/15,768.11 = 15,768.11/x
  3. Step 3: Cross multiply
    7,235.26x = 15,768.11 × 15,768.11
  4. Step 4: Simplify right side
    7,235.26x = 248,633,150.07
  5. Step 5: Solve for x
    x = 248,633,150.07/7,235.26
  6. Step 6: Final answer
    x = 34,364.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.