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Finding the Third Proportional to 5,333.63 and 7,863.19

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Solution

The third proportional to 5,333.63 and 7,863.19 is: 11,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.63 : 7,863.19 = 7,863.19 : x
  2. Step 2: Convert to fraction form
    5,333.63/7,863.19 = 7,863.19/x
  3. Step 3: Cross multiply
    5,333.63x = 7,863.19 × 7,863.19
  4. Step 4: Simplify right side
    5,333.63x = 61,829,717.66
  5. Step 5: Solve for x
    x = 61,829,717.66/5,333.63
  6. Step 6: Final answer
    x = 11,592.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.