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Finding the Third Proportional to 6,846.19 and 14,915.81

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Solution

The third proportional to 6,846.19 and 14,915.81 is: 32,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.19 : 14,915.81 = 14,915.81 : x
  2. Step 2: Convert to fraction form
    6,846.19/14,915.81 = 14,915.81/x
  3. Step 3: Cross multiply
    6,846.19x = 14,915.81 × 14,915.81
  4. Step 4: Simplify right side
    6,846.19x = 222,481,462.54
  5. Step 5: Solve for x
    x = 222,481,462.54/6,846.19
  6. Step 6: Final answer
    x = 32,497.13

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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.