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Finding the Third Proportional to 2,349.32 and 4,852.41

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Solution

The third proportional to 2,349.32 and 4,852.41 is: 10,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.32 : 4,852.41 = 4,852.41 : x
  2. Step 2: Convert to fraction form
    2,349.32/4,852.41 = 4,852.41/x
  3. Step 3: Cross multiply
    2,349.32x = 4,852.41 × 4,852.41
  4. Step 4: Simplify right side
    2,349.32x = 23,545,846.42
  5. Step 5: Solve for x
    x = 23,545,846.42/2,349.32
  6. Step 6: Final answer
    x = 10,022.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.