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Finding the Third Proportional to 4,368.94 and 7,846.88

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Solution

The third proportional to 4,368.94 and 7,846.88 is: 14,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.94 : 7,846.88 = 7,846.88 : x
  2. Step 2: Convert to fraction form
    4,368.94/7,846.88 = 7,846.88/x
  3. Step 3: Cross multiply
    4,368.94x = 7,846.88 × 7,846.88
  4. Step 4: Simplify right side
    4,368.94x = 61,573,447.27
  5. Step 5: Solve for x
    x = 61,573,447.27/4,368.94
  6. Step 6: Final answer
    x = 14,093.46

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.