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Finding the Third Proportional to 7,093.41 and 15,462.56

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Solution

The third proportional to 7,093.41 and 15,462.56 is: 33,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.41 : 15,462.56 = 15,462.56 : x
  2. Step 2: Convert to fraction form
    7,093.41/15,462.56 = 15,462.56/x
  3. Step 3: Cross multiply
    7,093.41x = 15,462.56 × 15,462.56
  4. Step 4: Simplify right side
    7,093.41x = 239,090,839.07
  5. Step 5: Solve for x
    x = 239,090,839.07/7,093.41
  6. Step 6: Final answer
    x = 33,706.07

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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.