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Finding the Third Proportional to 4,848.94 and 7,414.41

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Solution

The third proportional to 4,848.94 and 7,414.41 is: 11,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.94 : 7,414.41 = 7,414.41 : x
  2. Step 2: Convert to fraction form
    4,848.94/7,414.41 = 7,414.41/x
  3. Step 3: Cross multiply
    4,848.94x = 7,414.41 × 7,414.41
  4. Step 4: Simplify right side
    4,848.94x = 54,973,420.04
  5. Step 5: Solve for x
    x = 54,973,420.04/4,848.94
  6. Step 6: Final answer
    x = 11,337.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.