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Finding the Third Proportional to 5,369.63 and 7,846.88

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Solution

The third proportional to 5,369.63 and 7,846.88 is: 11,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.63 : 7,846.88 = 7,846.88 : x
  2. Step 2: Convert to fraction form
    5,369.63/7,846.88 = 7,846.88/x
  3. Step 3: Cross multiply
    5,369.63x = 7,846.88 × 7,846.88
  4. Step 4: Simplify right side
    5,369.63x = 61,573,447.27
  5. Step 5: Solve for x
    x = 61,573,447.27/5,369.63
  6. Step 6: Final answer
    x = 11,466.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.